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149647136688 = 24337149933013
BaseRepresentation
bin1000101101011110101…
…0100001011110110000
3112022021011111012102000
42023113222201132300
54422434131333223
6152425201254000
713545252450150
oct2132752413660
9468234435360
10149647136688
11585129a8785
1225004634300
131115b432bba
14735897a760
153d5cb2c543
hex22d7aa17b0

149647136688 has 160 divisors (see below), whose sum is σ = 491248320000. Its totient is φ = 42726507264.

The previous prime is 149647136669. The next prime is 149647136707. The reversal of 149647136688 is 886631746941.

It is a happy number.

149647136688 is a `hidden beast` number, since 1 + 496 + 4 + 7 + 1 + 3 + 66 + 88 = 666.

149647136688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (149647136669) and next prime (149647136707).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4516470 + ... + 4549482.

It is an arithmetic number, because the mean of its divisors is an integer number (3070302000).

Almost surely, 2149647136688 is an apocalyptic number.

149647136688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149647136688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245624160000).

149647136688 is an abundant number, since it is smaller than the sum of its proper divisors (341601183312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

149647136688 is a wasteful number, since it uses less digits than its factorization.

149647136688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34536 (or 34524 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 149647136688 in words is "one hundred forty-nine billion, six hundred forty-seven million, one hundred thirty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1499 1512 2998 3024 4497 5996 8994 10493 11992 13491 17988 20986 23984 26982 31479 33013 35976 40473 41972 53964 62958 66026 71952 80946 83944 94437 99039 107928 125916 132052 161892 167888 188874 198078 215856 231091 251832 264104 283311 297117 323784 377748 396156 462182 503664 528208 566622 594234 647568 693273 755496 792312 891351 924364 1133244 1188468 1386546 1510992 1584624 1782702 1848728 2079819 2266488 2376936 2773092 3565404 3697456 4159638 4532976 4753872 5546184 6239457 7130808 8319276 11092368 12478914 14261616 16638552 24957828 33277104 49486487 49915656 98972974 99831312 148459461 197945948 296918922 346405409 395891896 445378383 593837844 692810818 791783792 890756766 1039216227 1187675688 1336135149 1385621636 1781513532 2078432454 2375351376 2672270298 2771243272 3117648681 3563027064 4156864908 5344540596 5542486544 6235297362 7126054128 8313729816 9352946043 10689081192 12470594724 16627459632 18705892086 21378162384 24941189448 37411784172 49882378896 74823568344 149647136688