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5312805979680 = 25345409938733
BaseRepresentation
bin100110101001111101111…
…1010011100011000100000
3200210220021120202022210000
41031103323322130120200
51144021111312322210
615144400330140000
71055560166501313
oct115237372343040
920726246668700
105312805979680
11176916a51a941
127197a7b81600
132c6cc3022234
141451d958a97a
15932e92a9ac0
hex4d4fbe9c620

5312805979680 has 120 divisors (see below), whose sum is σ = 18749777815692. Its totient is φ = 1416748257792.

The previous prime is 5312805979661. The next prime is 5312805979687. The reversal of 5312805979680 is 869795082135.

5312805979680 is a `hidden beast` number, since 5 + 31 + 2 + 8 + 0 + 597 + 9 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4839665605776 + 473140373904 = 2199924^2 + 687852^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (5312805979687) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 204956407 + ... + 204982326.

Almost surely, 25312805979680 is an apocalyptic number.

It is an amenable number.

5312805979680 is an abundant number, since it is smaller than the sum of its proper divisors (13436971836012).

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

5312805979680 is a wasteful number, since it uses less digits than its factorization.

5312805979680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409938760 (or 409938743 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 5312805979680 in words is "five trillion, three hundred twelve billion, eight hundred five million, nine hundred seventy-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 409938733 819877466 1229816199 1639754932 2049693665 2459632398 3279509864 3689448597 4099387330 4919264796 6149080995 6559019728 7378897194 8198774660 9838529592 11068345791 12298161990 13118039456 14757794388 16397549320 18447242985 19677059184 22136691582 24596323980 29515588776 32795098640 33205037373 36894485970 39354118368 44273383164 49192647960 55341728955 59031177552 65590197280 66410074746 73788971940 88546766328 98385295920 110683457910 118062355104 132820149492 147577943880 166025186865 177093532656 196770591840 221366915820 265640298984 295155887760 332050373730 354187065312 442733831640 531280597968 590311775520 664100747460 885467663280 1062561195936 1328201494920 1770935326560 2656402989840 5312805979680