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10684923431 = 713213168947
BaseRepresentation
bin10011111001101111…
…01111111000100111
31000120122120100102212
421330313233320213
5133340320022211
64524130554035
7525532231160
oct117467577047
930518510385
1010684923431
1145933a7136
1220a243891b
13101387b400
147350d4767
154280a338b
hex27cdefe27

10684923431 has 24 divisors (see below), whose sum is σ = 13324063104. Its totient is φ = 8389349280.

The previous prime is 10684923407. The next prime is 10684923439. The reversal of 10684923431 is 13432948601.

It is not a de Polignac number, because 10684923431 - 210 = 10684922407 is a prime.

It is a super-2 number, since 2×106849234312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10684923439) 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 23 ways as a sum of consecutive naturals, for example, 120500 + ... + 189446.

It is an arithmetic number, because the mean of its divisors is an integer number (555169296).

Almost surely, 210684923431 is an apocalyptic number.

10684923431 is a deficient number, since it is larger than the sum of its proper divisors (2639139673).

10684923431 is a wasteful number, since it uses less digits than its factorization.

10684923431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69111 (or 69098 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The spelling of 10684923431 in words is "ten billion, six hundred eighty-four million, nine hundred twenty-three thousand, four hundred thirty-one".

Divisors: 1 7 13 91 131 169 917 1183 1703 11921 22139 68947 154973 482629 896311 6274177 9032057 11652043 63224399 81564301 117416741 821917187 1526417633 10684923431