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316121401680 = 24357732577637
BaseRepresentation
bin1001001100110100100…
…11011100100101010000
31010012222001012002100020
410212122103130211100
520134404034323210
6401120230423440
731560532402410
oct4463223344520
91105861162306
10316121401680
11112080320a67
1251324501b80
1323a6baaca46
141142c276640
158352b85770
hex499a4dc950

316121401680 has 160 divisors (see below), whose sum is σ = 1135315501824. Its totient is φ = 71266480128.

The previous prime is 316121401657. The next prime is 316121401723. The reversal of 316121401680 is 86104121613.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1166179 + ... + 1411458.

Almost surely, 2316121401680 is an apocalyptic number.

316121401680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

316121401680 is an abundant number, since it is smaller than the sum of its proper divisors (819194100144).

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

316121401680 is a wasteful number, since it uses less digits than its factorization.

316121401680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577733 (or 2577727 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 316121401680 in words is "three hundred sixteen billion, one hundred twenty-one million, four hundred one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 73 80 84 105 112 120 140 146 168 210 219 240 280 292 336 365 420 438 511 560 584 730 840 876 1022 1095 1168 1460 1533 1680 1752 2044 2190 2555 2920 3066 3504 4088 4380 5110 5840 6132 7665 8176 8760 10220 12264 15330 17520 20440 24528 30660 40880 61320 122640 2577637 5155274 7732911 10310548 12888185 15465822 18043459 20621096 25776370 30931644 36086918 38664555 41242192 51552740 54130377 61863288 72173836 77329110 90217295 103105480 108260754 123726576 144347672 154658220 180434590 188167501 206210960 216521508 270651885 288695344 309316440 360869180 376335002 433043016 541303770 564502503 618632880 721738360 752670004 866086032 940837505 1082607540 1129005006 1317172507 1443476720 1505340008 1881675010 2165215080 2258010012 2634345014 2822512515 3010680016 3763350020 3951517521 4330430160 4516020024 5268690028 5645025030 6585862535 7526700040 7903035042 9032040048 10537380056 11290050060 13171725070 15053400080 15806070084 19757587605 21074760112 22580100120 26343450140 31612140168 39515175210 45160200240 52686900280 63224280336 79030350420 105373800560 158060700840 316121401680