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312499999920 = 24358325162501
BaseRepresentation
bin1001000110000100111…
…00111001010010110000
31002212121122212211001010
410203002130321102300
520104444444444140
6355321023310520
731402020112653
oct4430234712260
91085548784033
10312499999920
11110592115249
125069374b440
1323612748474
14111a731589a
1581dec97880
hex48c27394b0

312499999920 has 160 divisors (see below), whose sum is σ = 984343497984. Its totient is φ = 82000000000.

The previous prime is 312499999919. The next prime is 312500000027. The reversal of 312499999920 is 29999994213.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4968670 + ... + 5031170.

Almost surely, 2312499999920 is an apocalyptic number.

312499999920 is a gapful number since it is divisible by the number (30) 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 312499999920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492171748992).

312499999920 is an abundant number, since it is smaller than the sum of its proper divisors (671843498064).

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

312499999920 is a wasteful number, since it uses less digits than its factorization.

312499999920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62851 (or 62845 counting only the distinct ones).

The product of its (nonzero) digits is 25509168, while the sum is 66.

The spelling of 312499999920 in words is "three hundred twelve billion, four hundred ninety-nine million, nine hundred ninety-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 83 120 166 240 249 251 332 415 498 502 664 753 830 996 1004 1245 1255 1328 1506 1660 1992 2008 2490 2510 3012 3320 3765 3984 4016 4980 5020 6024 6640 7530 9960 10040 12048 15060 19920 20080 20833 30120 41666 60240 62499 62501 83332 104165 124998 125002 166664 187503 208330 249996 250004 312495 312505 333328 375006 416660 499992 500008 624990 625010 750012 833320 937515 999984 1000016 1249980 1250020 1500024 1666640 1875030 2499960 2500040 3000048 3750060 4999920 5000080 5187583 7500120 10375166 15000240 15562749 15687751 20750332 25937915 31125498 31375502 41500664 47063253 51875830 62250996 62751004 77813745 78438755 83001328 94126506 103751660 124501992 125502008 155627490 156877510 188253012 207503320 235316265 249003984 251004016 311254980 313755020 376506024 415006640 470632530 622509960 627510040 753012048 941265060 1245019920 1255020080 1302083333 1882530120 2604166666 3765060240 3906249999 5208333332 6510416665 7812499998 10416666664 13020833330 15624999996 19531249995 20833333328 26041666660 31249999992 39062499990 52083333320 62499999984 78124999980 104166666640 156249999960 312499999920