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148381639164 = 2232111937533003
BaseRepresentation
bin1000101000110000111…
…1000010000111111100
3112011222222020021011100
42022030033002013330
54412341144423124
6152055433253100
713502015060043
oct2121417020774
9464888207140
10148381639164
1157a23626760
1224910864190
1310cb91b83b5
14727887b55a
153cd69a51c9
hex228c3c21fc

148381639164 has 144 divisors (see below), whose sum is σ = 442350679680. Its totient is φ = 41446235520.

The previous prime is 148381639151. The next prime is 148381639169. The reversal of 148381639164 is 461936183841.

148381639164 is a `hidden beast` number, since 1 + 48 + 381 + 63 + 9 + 164 = 666.

It is a super-2 number, since 2×1483816391642 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 148381639164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148381639169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11887 + ... + 544889.

It is an arithmetic number, because the mean of its divisors is an integer number (3071879720).

Almost surely, 2148381639164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148381639164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221175339840).

148381639164 is an abundant number, since it is smaller than the sum of its proper divisors (293969040516).

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

148381639164 is a wasteful number, since it uses less digits than its factorization.

148381639164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533080 (or 533075 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 148381639164 in words is "one hundred forty-eight billion, three hundred eighty-one million, six hundred thirty-nine thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 37 38 44 57 66 74 76 99 111 114 132 148 171 198 209 222 228 333 342 396 407 418 444 627 666 684 703 814 836 1221 1254 1332 1406 1628 1881 2109 2442 2508 2812 3663 3762 4218 4884 6327 7326 7524 7733 8436 12654 14652 15466 23199 25308 30932 46398 69597 92796 139194 278388 533003 1066006 1599009 2132012 3198018 4797027 5863033 6396036 9594054 10127057 11726066 17589099 19188108 19721111 20254114 23452132 30381171 35178198 39442222 40508228 52767297 59163333 60762342 70356396 78884444 91143513 105534594 111397627 118326666 121524684 177489999 182287026 211069188 216932221 222795254 236653332 334192881 354979998 364574052 374701109 433864442 445590508 650796663 668385762 709959996 749402218 867728884 1002578643 1124103327 1301593326 1336771524 1498804436 1952389989 2005157286 2248206654 2603186652 3372309981 3904779978 4010314572 4121712199 4496413308 6744619962 7809559956 8243424398 12365136597 13489239924 16486848796 24730273194 37095409791 49460546388 74190819582 148381639164