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31172262772 = 22721741228181
BaseRepresentation
bin11101000010000000…
…101111101101110100
32222110110010000120211
4131002000233231310
51002320044402042
622153105435204
72152322601400
oct350200575564
988413100524
1031172262772
1112246a25442
12605b63bb04
132c2a1c7501
141719dd8100
15c269d6017
hex74202fb74

31172262772 has 72 divisors (see below), whose sum is σ = 68829731208. Its totient is φ = 12266956800.

The previous prime is 31172262757. The next prime is 31172262791. The reversal of 31172262772 is 27726227113.

It can be written as a sum of positive squares in 4 ways, for example, as 5404308196 + 25767954576 = 73514^2 + 160524^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22522 + ... + 250702.

It is an arithmetic number, because the mean of its divisors is an integer number (955968489).

Almost surely, 231172262772 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 31172262772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34414865604).

31172262772 is an abundant number, since it is smaller than the sum of its proper divisors (37657468436).

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

31172262772 is a wasteful number, since it uses less digits than its factorization.

31172262772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228257 (or 228248 counting only the distinct ones).

The product of its digits is 98784, while the sum is 40.

Adding to 31172262772 its reverse (27726227113), we get a palindrome (58898489885).

The spelling of 31172262772 in words is "thirty-one billion, one hundred seventy-two million, two hundred sixty-two thousand, seven hundred seventy-two".

Divisors: 1 2 4 7 14 17 28 34 41 49 68 82 98 119 164 196 238 287 476 574 697 833 1148 1394 1666 2009 2788 3332 4018 4879 8036 9758 19516 34153 68306 136612 228181 456362 912724 1597267 3194534 3879077 6389068 7758154 9355421 11180869 15516308 18710842 22361738 27153539 37421684 44723476 54307078 65487947 108614156 130975894 159042157 190074773 261951788 318084314 380149546 458415629 636168628 760299092 916831258 1113295099 1833662516 2226590198 4453180396 7793065693 15586131386 31172262772