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10428935931 = 3223412814373
BaseRepresentation
bin10011011011001110…
…01110111011111011
3222220210212211121100
421231213032323323
5132324301422211
64442504142443
7516303331011
oct115547167373
928823784540
1010428935931
114471953a17
122030767a23
13ca282060b
1470d0da8b1
1541088a156
hex26d9ceefb

10428935931 has 48 divisors (see below), whose sum is σ = 16163364672. Its totient is φ = 6463564800.

The previous prime is 10428935927. The next prime is 10428935939. The reversal of 10428935931 is 13953982401.

It is a happy number.

10428935931 is a `hidden beast` number, since 10 + 4 + 289 + 359 + 3 + 1 = 666.

It is not a de Polignac number, because 10428935931 - 22 = 10428935927 is a prime.

It is a super-2 number, since 2×104289359312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10428935939) 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 47 ways as a sum of consecutive naturals, for example, 2382661 + ... + 2387033.

It is an arithmetic number, because the mean of its divisors is an integer number (336736764).

Almost surely, 210428935931 is an apocalyptic number.

10428935931 is a deficient number, since it is larger than the sum of its proper divisors (5734428741).

10428935931 is a wasteful number, since it uses less digits than its factorization.

10428935931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4724 (or 4721 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 10428935931 in words is "ten billion, four hundred twenty-eight million, nine hundred thirty-five thousand, nine hundred thirty-one".

Divisors: 1 3 9 23 41 69 123 207 281 369 843 943 2529 2829 4373 6463 8487 11521 13119 19389 34563 39357 58167 100579 103689 179293 264983 301737 537879 794949 905211 1228813 1613637 2384847 3686439 4123739 11059317 12371217 28262699 37113651 50381333 84788097 151143999 254364291 453431997 1158770659 3476311977 10428935931