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313690187328 = 26371147120347
BaseRepresentation
bin1001001000010010110…
…01000110011001000000
31002222200121102121020020
410210021121012121000
520114414141443303
6400035101213440
731443351412050
oct4441131063100
91088617377206
10313690187328
11111042a29701
1250966261280
13237721b547b
141127b40d560
15825e4e5a53
hex4909646640

313690187328 has 112 divisors (see below), whose sum is σ = 948668688384. Its totient is φ = 89613550080.

The previous prime is 313690187299. The next prime is 313690187357. The reversal of 313690187328 is 823781096313.

It is an interprime number because it is at equal distance from previous prime (313690187299) and next prime (313690187357).

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15406851 + ... + 15427197.

Almost surely, 2313690187328 is an apocalyptic number.

It is an amenable number.

313690187328 is an abundant number, since it is smaller than the sum of its proper divisors (634978501056).

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

313690187328 is a wasteful number, since it uses less digits than its factorization.

313690187328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31840 (or 31830 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 313690187328 in words is "three hundred thirteen billion, six hundred ninety million, one hundred eighty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 11471 20347 22942 34413 40694 45884 61041 68826 80297 81388 91768 122082 137652 142429 160594 162776 183536 240891 244164 275304 284858 321188 325552 367072 427287 481782 488328 550608 569716 642376 651104 734144 854574 963564 976656 1101216 1139432 1284752 1302208 1709148 1927128 1953312 2202432 2278864 2569504 3418296 3854256 3906624 4557728 5139008 6836592 7708512 9115456 13673184 15417024 27346368 233400437 466800874 700201311 933601748 1400402622 1633803059 1867203496 2800805244 3267606118 3734406992 4901409177 5601610488 6535212236 7468813984 9802818354 11203220976 13070424472 14937627968 19605636708 22406441952 26140848944 39211273416 44812883904 52281697888 78422546832 104563395776 156845093664 313690187328