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7270138008 = 2332714999623
BaseRepresentation
bin1101100010101010…
…11000000010011000
3200202200001021110200
412301111120002120
5104342123404013
63201224142200
7345106103430
oct66125300230
920680037420
107270138008
1130a0892321
1214aa907960
138bb279813
144cd7992c0
152c83c9e73
hex1b1558098

7270138008 has 96 divisors (see below), whose sum is σ = 22520160000. Its totient is φ = 2075580864.

The previous prime is 7270137971. The next prime is 7270138021. The reversal of 7270138008 is 8008310727.

7270138008 is a `hidden beast` number, since 7 + 270 + 1 + 380 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 750685 + ... + 760307.

It is an arithmetic number, because the mean of its divisors is an integer number (234585000).

Almost surely, 27270138008 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 7270138008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11260080000).

7270138008 is an abundant number, since it is smaller than the sum of its proper divisors (15250021992).

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

7270138008 is a wasteful number, since it uses less digits than its factorization.

7270138008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11141 (or 11134 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 7270138008 is about 85265.1042807079. The cubic root of 7270138008 is about 1937.2286578206.

The spelling of 7270138008 in words is "seven billion, two hundred seventy million, one hundred thirty-eight thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 1499 2998 4497 5996 8994 9623 10493 11992 13491 17988 19246 20986 26982 28869 31479 35976 38492 41972 53964 57738 62958 67361 76984 83944 86607 94437 107928 115476 125916 134722 173214 188874 202083 230952 251832 269444 346428 377748 404166 538888 606249 692856 755496 808332 1212498 1616664 2424996 4849992 14424877 28849754 43274631 57699508 86549262 100974139 115399016 129823893 173098524 201948278 259647786 302922417 346197048 403896556 519295572 605844834 807793112 908767251 1038591144 1211689668 1817534502 2423379336 3635069004 7270138008