Search a number
-
+
31137177924 = 22344115312
BaseRepresentation
bin11100111111111010…
…111010000101000100
32222101000002112020000
4130333322322011010
51002232104143144
622145413441300
72151415434246
oct347772720504
988330075200
1031137177924
11122291416a6
12604b940230
132c22b61c48
1417154a4096
15c238a5769
hex73feba144

31137177924 has 90 divisors (see below), whose sum is σ = 83438567982. Its totient is φ = 10119297600.

The previous prime is 31137177901. The next prime is 31137177937. The reversal of 31137177924 is 42977173113.

It can be written as a sum of positive squares in only one way, i.e., 18986084100 + 12151093824 = 137790^2 + 110232^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 31137177924.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 20337039 + ... + 20338569.

Almost surely, 231137177924 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31137177924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41719283991).

31137177924 is an abundant number, since it is smaller than the sum of its proper divisors (52301390058).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31137177924 is an equidigital number, since it uses as much as digits as its factorization.

31137177924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3119 (or 1577 counting only the distinct ones).

The product of its digits is 222264, while the sum is 45.

The spelling of 31137177924 in words is "thirty-one billion, one hundred thirty-seven million, one hundred seventy-seven thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 246 324 369 492 738 1107 1476 1531 2214 3062 3321 4428 4593 6124 6642 9186 13284 13779 18372 27558 41337 55116 62771 82674 124011 125542 165348 188313 248022 251084 376626 496044 564939 753252 1129878 1694817 2259756 2343961 3389634 4687922 5084451 6779268 7031883 9375844 10168902 14063766 20337804 21095649 28127532 42191298 63286947 84382596 96102401 126573894 189860841 192204802 253147788 288307203 379721682 384409604 576614406 759443364 864921609 1153228812 1729843218 2594764827 3459686436 5189529654 7784294481 10379059308 15568588962 31137177924