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31276629904 = 241321921792
BaseRepresentation
bin11101001000001110…
…110111111110010000
32222201201111102101011
4131020032313332100
51003023304124104
622211314420304
72155030652632
oct351016677620
988651442334
1031276629904
111229a929a73
12608a591694
132c45a09a00
141729c04a52
15c30c4e904
hex7483b7f90

31276629904 has 135 divisors (see below), whose sum is σ = 69642888273. Its totient is φ = 13599211392.

The previous prime is 31276629863. The next prime is 31276629907. The reversal of 31276629904 is 40992667213.

The square root of 31276629904 is 176852.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4626720400 + 26649909504 = 68020^2 + 163248^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31276629907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 174729687 + ... + 174729865.

Almost surely, 231276629904 is an apocalyptic number.

31276629904 is the 176852-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31276629904

31276629904 is an abundant number, since it is smaller than the sum of its proper divisors (38366258369).

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

31276629904 is a wasteful number, since it uses less digits than its factorization.

31276629904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 49.

Multiplying 31276629904 by its sum of digits (49), we get a square (1532554865296 = 12379642).

The spelling of 31276629904 in words is "thirty-one billion, two hundred seventy-six million, six hundred twenty-nine thousand, nine hundred four".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 169 179 208 247 304 338 358 361 494 676 716 722 988 1352 1432 1444 1976 2327 2704 2864 2888 3211 3401 3952 4654 4693 5776 6422 6802 9308 9386 12844 13604 18616 18772 25688 27208 30251 32041 37232 37544 44213 51376 54416 60502 61009 64082 64619 75088 88426 121004 122018 128164 129238 176852 242008 244036 256328 258476 353704 416533 484016 488072 512656 516952 574769 608779 707408 833066 840047 976144 1033904 1149538 1217558 1666132 1680094 2299076 2435116 3332264 3360188 4598152 4870232 5414929 6664528 6720376 7914127 9196304 9740464 10829858 10920611 11566801 13440752 15828254 21659716 21841222 23133602 31656508 43319432 43682444 46267204 63313016 86638864 87364888 92534408 102883651 126626032 150368413 174729776 185068816 205767302 300736826 411534604 601473652 823069208 1202947304 1646138416 1954789369 2405894608 3909578738 7819157476 15638314952 31276629904