Search a number
-
+
31716317857 = 732961167313
BaseRepresentation
bin11101100010011100…
…001001101010100001
310000212100211212212011
4131202130021222201
51004423334132412
622323102432521
72201650153000
oct354234115241
9100770755764
1031716317857
11124a6042044
126191892741
132cb5b35ab3
14176c37ac37
15c596527a7
hex762709aa1

31716317857 has 64 divisors (see below), whose sum is σ = 39247488000. Its totient is φ = 25581104640.

The previous prime is 31716317851. The next prime is 31716317921. The reversal of 31716317857 is 75871361713.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-31716317857 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 31716317857.

It is not an unprimeable number, because it can be changed into a prime (31716317851) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101329933 + ... + 101330245.

It is an arithmetic number, because the mean of its divisors is an integer number (613242000).

Almost surely, 231716317857 is an apocalyptic number.

It is an amenable number.

31716317857 is a deficient number, since it is larger than the sum of its proper divisors (7531170143).

31716317857 is a wasteful number, since it uses less digits than its factorization.

31716317857 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 577 counting only the distinct ones).

The product of its digits is 740880, while the sum is 49.

The spelling of 31716317857 in words is "thirty-one billion, seven hundred sixteen million, three hundred seventeen thousand, eight hundred fifty-seven".

Divisors: 1 7 29 49 61 167 203 313 343 427 1169 1421 1769 2191 2989 4843 8183 9077 9947 10187 12383 15337 19093 20923 33901 52271 57281 63539 71309 86681 107359 133651 237307 295423 365897 444773 499163 553697 606767 935557 1515859 1661149 2067961 2561279 3113411 3188531 3494141 3875879 6548899 10611013 14475727 17928953 22319717 27131153 74277091 92467399 101330089 156238019 189918071 519939637 647271793 1093666133 4530902551 31716317857