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10052754264 = 233376648647
BaseRepresentation
bin10010101110011000…
…01101101101011000
3221221121000211101000
421113030031231120
5131042001114024
64341305225000
7504055000320
oct112714155530
927847024330
1010052754264
114299577083
121b46792160
13c428cb407
146b5176280
153dc82dcc9
hex25730db58

10052754264 has 64 divisors (see below), whose sum is σ = 31913510400. Its totient is φ = 2872215072.

The previous prime is 10052754253. The next prime is 10052754281. The reversal of 10052754264 is 46245725001.

It is a happy number.

10052754264 is a `hidden beast` number, since 1 + 0 + 0 + 52 + 7 + 542 + 64 = 666.

10052754264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3322812 + ... + 3325835.

It is an arithmetic number, because the mean of its divisors is an integer number (498648600).

Almost surely, 210052754264 is an apocalyptic number.

10052754264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10052754264 is an abundant number, since it is smaller than the sum of its proper divisors (21860756136).

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

10052754264 is a wasteful number, since it uses less digits than its factorization.

10052754264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6648669 (or 6648659 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 10052754264 in words is "ten billion, fifty-two million, seven hundred fifty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 6648647 13297294 19945941 26594588 39891882 46540529 53189176 59837823 79783764 93081058 119675646 139621587 159567528 179513469 186162116 239351292 279243174 359026938 372324232 418864761 478702584 558486348 718053876 837729522 1116972696 1256594283 1436107752 1675459044 2513188566 3350918088 5026377132 10052754264