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20312456313060 = 22335130432883973
BaseRepresentation
bin1001001111001010111001…
…01111100011100011100100
32122220212000000010210121000
410213211130233203203210
510130244402304004220
6111111225201153300
74164345413612622
oct447453457434344
978825000123530
1020312456313060
11652151205373a
12234083462b830
13b445c1974492
145031b1840512
15253590d9e390
hex12795cbe38e4

20312456313060 has 96 divisors (see below), whose sum is σ = 63199175518080. Its totient is φ = 5416237846656.

The previous prime is 20312456312989. The next prime is 20312456313101. The reversal of 20312456313060 is 6031365421302.

20312456313060 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 2 + 4 + 563 + 1 + 30 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 5601234 + ... + 8485206.

It is an arithmetic number, because the mean of its divisors is an integer number (658324744980).

Almost surely, 220312456313060 is an apocalyptic number.

20312456313060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20312456313060 is an abundant number, since it is smaller than the sum of its proper divisors (42886719205020).

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

20312456313060 is a wasteful number, since it uses less digits than its factorization.

20312456313060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2897034 (or 2897026 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 20312456313060 in words is "twenty trillion, three hundred twelve billion, four hundred fifty-six million, three hundred thirteen thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 13043 26086 39129 52172 65215 78258 117387 130430 156516 195645 234774 260860 352161 391290 469548 586935 704322 782580 1173870 1408644 1760805 2347740 2883973 3521610 5767946 7043220 8651919 11535892 14419865 17303838 25955757 28839730 34607676 43259595 51911514 57679460 77867271 86519190 103823028 129778785 155734542 173038380 259557570 311469084 389336355 519115140 778672710 1557345420 37615659839 75231319678 112846979517 150462639356 188078299195 225693959034 338540938551 376156598390 451387918068 564234897585 677081877102 752313196780 1015622815653 1128469795170 1354163754204 1692704692755 2031245631306 2256939590340 3385409385510 4062491262612 5078114078265 6770818771020 10156228156530 20312456313060