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312676135968 = 25372471414261
BaseRepresentation
bin1001000110011001111…
…00110011010000100000
31002220001221022110021110
410203030330303100200
520110330042322333
6355350314423320
731406256206100
oct4431474632040
91086057273243
10312676135968
11110672588929
1250722731b40
1323640098691
14111c2885200
15820048b063
hex48ccf33420

312676135968 has 144 divisors (see below), whose sum is σ = 975094049664. Its totient is φ = 87435210240.

The previous prime is 312676135951. The next prime is 312676135973. The reversal of 312676135968 is 869531676213.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 486043 + ... + 928218.

It is an arithmetic number, because the mean of its divisors is an integer number (6771486456).

Almost surely, 2312676135968 is an apocalyptic number.

It is an amenable number.

312676135968 is an abundant number, since it is smaller than the sum of its proper divisors (662417913696).

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

312676135968 is a wasteful number, since it uses less digits than its factorization.

312676135968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414335 (or 1414320 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 57.

The spelling of 312676135968 in words is "three hundred twelve billion, six hundred seventy-six million, one hundred thirty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 49 56 84 94 96 98 112 141 147 168 188 196 224 282 294 329 336 376 392 564 588 658 672 752 784 987 1128 1176 1316 1504 1568 1974 2256 2303 2352 2632 3948 4512 4606 4704 5264 6909 7896 9212 10528 13818 15792 18424 27636 31584 36848 55272 73696 110544 221088 1414261 2828522 4242783 5657044 8485566 9899827 11314088 16971132 19799654 22628176 29699481 33942264 39599308 45256352 59398962 66470267 67884528 69298789 79198616 118797924 132940534 135769056 138597578 158397232 199410801 207896367 237595848 265881068 277195156 316794464 398821602 415792734 465291869 475191696 531762136 554390312 797643204 831585468 930583738 950383392 1063524272 1108780624 1395875607 1595286408 1663170936 1861167476 2127048544 2217561248 2791751214 3190572816 3257043083 3326341872 3722334952 5583502428 6381145632 6514086166 6652683744 7444669904 9771129249 11167004856 13028172332 14889339808 19542258498 22334009712 26056344664 39084516996 44668019424 52112689328 78169033992 104225378656 156338067984 312676135968