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11734460256 = 2531731231943
BaseRepresentation
bin10101110110110110…
…11010011101100000
31010021210110100022010
422323123122131200
5143013010212011
65220222112520
7563535160251
oct127333323540
933253410263
1011734460256
114a81884742
122335a1b740
131150140c0c
147d4658b28
1548a2bc1a6
hex2bb6da760

11734460256 has 96 divisors (see below), whose sum is σ = 33667135488. Its totient is φ = 3562629120.

The previous prime is 11734460251. The next prime is 11734460299. The reversal of 11734460256 is 65206443711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11734460251) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 65380 + ... + 166563.

It is an arithmetic number, because the mean of its divisors is an integer number (350699328).

Almost surely, 211734460256 is an apocalyptic number.

11734460256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11734460256 is an abundant number, since it is smaller than the sum of its proper divisors (21932675232).

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

11734460256 is a wasteful number, since it uses less digits than its factorization.

11734460256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232004 (or 231996 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 11734460256 in words is "eleven billion, seven hundred thirty-four million, four hundred sixty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 68 93 96 102 124 136 186 204 248 272 372 408 496 527 544 744 816 992 1054 1488 1581 1632 2108 2976 3162 4216 6324 8432 12648 16864 25296 50592 231943 463886 695829 927772 1391658 1855544 2783316 3711088 3943031 5566632 7190233 7422176 7886062 11133264 11829093 14380466 15772124 21570699 22266528 23658186 28760932 31544248 43141398 47316372 57521864 63088496 86282796 94632744 115043728 122233961 126176992 172565592 189265488 230087456 244467922 345131184 366701883 378530976 488935844 690262368 733403766 977871688 1466807532 1955743376 2933615064 3911486752 5867230128 11734460256