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10040505354 = 23211172982919
BaseRepresentation
bin10010101100111010…
…11111010000001010
3221220201222112000200
421112131133100022
5131030332132404
64340150513030
7503545613235
oct112635372012
927821875020
1010040505354
114292670310
121b42665776
13c40200039
146b36a841c
153db70e839
hex25675f40a

10040505354 has 48 divisors (see below), whose sum is σ = 25128118080. Its totient is φ = 2863601280.

The previous prime is 10040505311. The next prime is 10040505359. The reversal of 10040505354 is 45350504001.

10040505354 is a `hidden beast` number, since 100 + 4 + 0 + 505 + 3 + 54 = 666.

10040505354 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10040505359) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1488094 + ... + 1494825.

It is an arithmetic number, because the mean of its divisors is an integer number (523502460).

Almost surely, 210040505354 is an apocalyptic number.

10040505354 is an abundant number, since it is smaller than the sum of its proper divisors (15087612726).

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

10040505354 is a wasteful number, since it uses less digits than its factorization.

10040505354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2982955 (or 2982952 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 10040505354 in words is "ten billion, forty million, five hundred five thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1683 3366 2982919 5965838 8948757 17897514 26846271 32812109 50709623 53692542 65624218 98436327 101419246 152128869 196872654 295308981 304257738 456386607 557805853 590617962 912773214 1115611706 1673417559 3346835118 5020252677 10040505354