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31272023776 = 257476834349
BaseRepresentation
bin11101000111111101…
…010011011011100000
32222201101211101221211
4131013331103123200
51003021114230101
622211031555504
72154643546660
oct350775233340
988641741854
1031272023776
1112298273354
126088b2bb94
132c44a862a6
1417293661a0
15c3063ec51
hex747f536e0

31272023776 has 96 divisors (see below), whose sum is σ = 71980876800. Its totient is φ = 13094923776.

The previous prime is 31272023773. The next prime is 31272023777. The reversal of 31272023776 is 67732027213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31272023773) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7188450 + ... + 7192798.

It is an arithmetic number, because the mean of its divisors is an integer number (749800800).

Almost surely, 231272023776 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 31272023776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35990438400).

31272023776 is an abundant number, since it is smaller than the sum of its proper divisors (40708853024).

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

31272023776 is a wasteful number, since it uses less digits than its factorization.

31272023776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5096 (or 5088 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 40.

The spelling of 31272023776 in words is "thirty-one billion, two hundred seventy-two million, twenty-three thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 94 112 188 224 329 376 658 683 752 1316 1366 1504 2632 2732 4349 4781 5264 5464 8698 9562 10528 10928 17396 19124 21856 30443 32101 34792 38248 60886 64202 69584 76496 121772 128404 139168 152992 204403 224707 243544 256808 408806 449414 487088 513616 817612 898828 974176 1027232 1430821 1635224 1797656 2861642 2970367 3270448 3595312 5723284 5940734 6540896 7190624 11446568 11881468 20792569 22893136 23762936 41585138 45786272 47525872 83170276 95051744 139607249 166340552 279214498 332681104 558428996 665362208 977250743 1116857992 1954501486 2233715984 3909002972 4467431968 7818005944 15636011888 31272023776