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10434672381 = 372917134109
BaseRepresentation
bin10011011011111010…
…00111011011111101
3222221012200021112110
421231331013123331
5132332234004011
64443231124233
7516403152240
oct115575073375
928835607473
1010434672381
114475111891
122032673679
13ca3a7b673
1470db91257
1541111eba6
hex26df476fd

10434672381 has 16 divisors (see below), whose sum is σ = 16448745600. Its totient is φ = 5757060288.

The previous prime is 10434672379. The next prime is 10434672431. The reversal of 10434672381 is 18327643401.

It is not a de Polignac number, because 10434672381 - 21 = 10434672379 is a prime.

It is a super-2 number, since 2×104346723812 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10434672371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8566446 + ... + 8567663.

It is an arithmetic number, because the mean of its divisors is an integer number (1028046600).

Almost surely, 210434672381 is an apocalyptic number.

It is an amenable number.

10434672381 is a deficient number, since it is larger than the sum of its proper divisors (6014073219).

10434672381 is a wasteful number, since it uses less digits than its factorization.

10434672381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17134148.

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 10434672381 in words is "ten billion, four hundred thirty-four million, six hundred seventy-two thousand, three hundred eighty-one".

Divisors: 1 3 7 21 29 87 203 609 17134109 51402327 119938763 359816289 496889161 1490667483 3478224127 10434672381