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313241672832 = 27311235131543
BaseRepresentation
bin1001000111011101010…
…10001001110010000000
31002221112100110201000020
410203232222021302000
520113004332012312
6355522400053440
731426264200444
oct4435652116200
91087470421006
10313241672832
11110932838070
1250860004280
13237002b898a
1411237a1a824
158234e4c78c
hex48eea89c80

313241672832 has 128 divisors (see below), whose sum is σ = 908103813120. Its totient is φ = 94878336000.

The previous prime is 313241672813. The next prime is 313241672899. The reversal of 313241672832 is 238276142313.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9914853 + ... + 9946395.

It is an arithmetic number, because the mean of its divisors is an integer number (7094561040).

Almost surely, 2313241672832 is an apocalyptic number.

313241672832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313241672832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454051906560).

313241672832 is an abundant number, since it is smaller than the sum of its proper divisors (594862140288).

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

313241672832 is a wasteful number, since it uses less digits than its factorization.

313241672832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33922 (or 33910 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The spelling of 313241672832 in words is "three hundred thirteen billion, two hundred forty-one million, six hundred seventy-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 2351 4224 4702 7053 9404 14106 18808 25861 28212 31543 37616 51722 56424 63086 75232 77583 94629 103444 112848 126172 150464 155166 189258 206888 225696 252344 300928 310332 346973 378516 413776 451392 504688 620664 693946 757032 827552 902784 1009376 1040919 1241328 1387892 1514064 1655104 2018752 2081838 2482656 2775784 3028128 3310208 4037504 4163676 4965312 5551568 6056256 8327352 9930624 11103136 12112512 16654704 22206272 33309408 44412544 66618816 74157593 133237632 148315186 222472779 296630372 444945558 593260744 815733523 889891116 1186521488 1631467046 1779782232 2373042976 2447200569 3262934092 3559564464 4746085952 4894401138 6525868184 7119128928 9492171904 9788802276 13051736368 14238257856 19577604552 26103472736 28476515712 39155209104 52206945472 78310418208 104413890944 156620836416 313241672832