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10775251368 = 2333729245741
BaseRepresentation
bin10100000100100000…
…10100100110101000
31000210221112111002000
422002100110212220
5134031431020433
64541115011000
7531010061010
oct120220244650
930727474060
1010775251368
11462a391922
122108739a60
1310294b66ab
147430c8c40
15430e97113
hex2824149a8

10775251368 has 128 divisors (see below), whose sum is σ = 35386848000. Its totient is φ = 2972471040.

The previous prime is 10775251309. The next prime is 10775251379. The reversal of 10775251368 is 86315257701.

It is a happy number.

10775251368 is a `hidden beast` number, since 1 + 0 + 7 + 75 + 2 + 513 + 68 = 666.

It is a super-2 number, since 2×107752513682 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79023 + ... + 166718.

It is an arithmetic number, because the mean of its divisors is an integer number (276459750).

Almost surely, 210775251368 is an apocalyptic number.

10775251368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10775251368 is an abundant number, since it is smaller than the sum of its proper divisors (24611596632).

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

10775251368 is a wasteful number, since it uses less digits than its factorization.

10775251368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245792 (or 245782 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 10775251368 in words is "ten billion, seven hundred seventy-five million, two hundred fifty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 29 36 42 54 56 58 63 72 84 87 108 116 126 168 174 189 203 216 232 252 261 348 378 406 504 522 609 696 756 783 812 1044 1218 1512 1566 1624 1827 2088 2436 3132 3654 4872 5481 6264 7308 10962 14616 21924 43848 245741 491482 737223 982964 1474446 1720187 1965928 2211669 2948892 3440374 4423338 5160561 5897784 6635007 6880748 7126489 8846676 10321122 13270014 13761496 14252978 15481683 17693352 20642244 21379467 26540028 28505956 30963366 41284488 42758934 46445049 49885423 53080056 57011912 61926732 64138401 85517868 92890098 99770846 123853464 128276802 149656269 171035736 185780196 192415203 199541692 256553604 299312538 371560392 384830406 399083384 448968807 513107208 598625076 769660812 897937614 1197250152 1346906421 1539321624 1795875228 2693812842 3591750456 5387625684 10775251368