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5137031920032 = 253235509502321
BaseRepresentation
bin100101011000000111011…
…1101100111100110100000
3200012002120120211220212200
41022300032331213212200
51133131120132420112
614531530410053200
71040065303602105
oct112601675474640
920162516756780
105137031920032
11170066a662251
126ab71171a200
132b355ca6990c
1413a8c2b1aaac
158d95caa6cdc
hex4ac0ef679a0

5137031920032 has 72 divisors (see below), whose sum is σ = 14608875006180. Its totient is φ = 1712292341760.

The previous prime is 5137031920019. The next prime is 5137031920043. The reversal of 5137031920032 is 2300291307315.

It is a happy number.

5137031920032 is a `hidden beast` number, since 5 + 137 + 0 + 319 + 200 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5136913458576 + 118461456 = 2266476^2 + 10884^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 9975432 + ... + 10477752.

Almost surely, 25137031920032 is an apocalyptic number.

It is an amenable number.

5137031920032 is an abundant number, since it is smaller than the sum of its proper divisors (9471843086148).

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

5137031920032 is a wasteful number, since it uses less digits than its factorization.

5137031920032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537846 (or 537835 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 5137031920032 in words is "five trillion, one hundred thirty-seven billion, thirty-one million, nine hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 35509 71018 106527 142036 213054 284072 319581 426108 502321 568144 639162 852216 1004642 1136288 1278324 1506963 1704432 2009284 2556648 3013926 3408864 4018568 4520889 5113296 6027852 8037136 9041778 10226592 12055704 16074272 18083556 24111408 36167112 48222816 72334224 144668448 17836916389 35673832778 53510749167 71347665556 107021498334 142695331112 160532247501 214042996668 285390662224 321064495002 428085993336 570781324448 642128990004 856171986672 1284257980008 1712343973344 2568515960016 5137031920032