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10416056431 = 112149577739
BaseRepresentation
bin10011011001101100…
…00110100001101111
3222212220122111020211
421230312012201233
5132313002301211
64441324123251
7516056006314
oct115466064157
928786574224
1010416056431
114465657400
122028396527
13c9cc61201
1470b506d0b
1540e693e21
hex26cd8686f

10416056431 has 12 divisors (see below), whose sum is σ = 11525913000. Its totient is φ = 9405574640.

The previous prime is 10416056429. The next prime is 10416056447. The reversal of 10416056431 is 13465061401.

It is not a de Polignac number, because 10416056431 - 21 = 10416056429 is a prime.

It is a super-2 number, since 2×104160564312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10416056393 and 10416056402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10416056401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 270841 + ... + 306898.

It is an arithmetic number, because the mean of its divisors is an integer number (960492750).

Almost surely, 210416056431 is an apocalyptic number.

10416056431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10416056431 is a deficient number, since it is larger than the sum of its proper divisors (1109856569).

10416056431 is a wasteful number, since it uses less digits than its factorization.

10416056431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577910 (or 577899 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 10416056431 in words is "ten billion, four hundred sixteen million, fifty-six thousand, four hundred thirty-one".

Divisors: 1 11 121 149 1639 18029 577739 6355129 69906419 86083111 946914221 10416056431