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31369271296 = 2111121031229
BaseRepresentation
bin11101001101110000…
…010001100000000000
32222222011211002110211
4131031300101200000
51003221013140141
622224424203504
72160234256306
oct351560214000
988864732424
1031369271296
1112338154900
1260b5609594
132c5bc74cbc
14173823c276
15c38e4dd81
hex74dc11800

31369271296 has 144 divisors (see below), whose sum is σ = 69669709200. Its totient is φ = 14108835840.

The previous prime is 31369271239. The next prime is 31369271299. The reversal of 31369271296 is 69217296313.

It is a super-3 number, since 3×313692712963 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31369271299) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25523610 + ... + 25524838.

It is an arithmetic number, because the mean of its divisors is an integer number (483817425).

Almost surely, 231369271296 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 31369271296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34834854600).

31369271296 is an abundant number, since it is smaller than the sum of its proper divisors (38300437904).

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

31369271296 is a wasteful number, since it uses less digits than its factorization.

31369271296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1345 counting only the distinct ones).

The product of its digits is 734832, while the sum is 49.

The spelling of 31369271296 in words is "thirty-one billion, three hundred sixty-nine million, two hundred seventy-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 103 121 128 176 206 242 256 352 412 484 512 704 824 968 1024 1133 1229 1408 1648 1936 2048 2266 2458 2816 3296 3872 4532 4916 5632 6592 7744 9064 9832 11264 12463 13184 13519 15488 18128 19664 22528 24926 26368 27038 30976 36256 39328 49852 52736 54076 61952 72512 78656 99704 105472 108152 123904 126587 145024 148709 157312 199408 210944 216304 247808 253174 290048 297418 314624 398816 432608 506348 580096 594836 629248 797632 865216 1012696 1160192 1189672 1258496 1392457 1595264 1730432 2025392 2320384 2379344 2516992 2784914 3190528 3460864 4050784 4758688 5569828 6381056 6921728 8101568 9517376 11139656 12762112 13843456 15317027 16203136 19034752 22279312 25524224 27686912 30634054 32406272 38069504 44558624 61268108 64812544 76139008 89117248 122536216 129625088 152278016 178234496 245072432 259250176 304556032 356468992 490144864 712937984 980289728 1425875968 1960579456 2851751936 3921158912 7842317824 15684635648 31369271296