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10134634356 = 22337111218691
BaseRepresentation
bin10010111000001001…
…00011111101110100
3222011022002202202000
421130010203331310
5131223431244411
64353352215300
7506100653640
oct113404437564
928138082660
1010134634356
114330811880
121b6a09a530
13c56869482
146c1dabc20
153e4b04956
hex25c123f74

10134634356 has 96 divisors (see below), whose sum is σ = 32758440960. Its totient is φ = 2632370400.

The previous prime is 10134634331. The next prime is 10134634361. The reversal of 10134634356 is 65343643101.

10134634356 is a `hidden beast` number, since 1 + 0 + 13 + 4 + 634 + 3 + 5 + 6 = 666.

10134634356 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 self number, because there is not a number n which added to its sum of digits gives 10134634356.

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 31 ways as a sum of consecutive naturals, for example, 601030 + ... + 617661.

It is an arithmetic number, because the mean of its divisors is an integer number (341233760).

Almost surely, 210134634356 is an apocalyptic number.

It is an amenable number.

10134634356 is an abundant number, since it is smaller than the sum of its proper divisors (22623806604).

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

10134634356 is a wasteful number, since it uses less digits than its factorization.

10134634356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218722 (or 1218714 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 10134634356 in words is "ten billion, one hundred thirty-four million, six hundred thirty-four thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 2079 2772 4158 8316 1218691 2437382 3656073 4874764 7312146 8530837 10968219 13405601 14624292 17061674 21936438 25592511 26811202 32904657 34123348 40216803 43872876 51185022 53622404 65809314 76777533 80433606 93839207 102370044 120650409 131618628 153555066 160867212 187678414 230332599 241300818 281517621 307110132 361951227 375356828 460665198 482601636 563035242 723902454 844552863 921330396 1126070484 1447804908 1689105726 2533658589 3378211452 5067317178 10134634356