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3956248660680 = 2332519578398927
BaseRepresentation
bin111001100100100010110…
…010111100101011001000
3112000012202202211101022100
4321210202302330223020
51004304344124120210
612225250414553400
7555554346522021
oct71444262745310
915005682741270
103956248660680
1112959212588a8
1253a8b7808860
132290c37b8684
14d96aa869c48
156cd9eeba5c0
hex39922cbcac8

3956248660680 has 96 divisors (see below), whose sum is σ = 13534534915200. Its totient is φ = 999473344128.

The previous prime is 3956248660673. The next prime is 3956248660687. The reversal of 3956248660680 is 860668426593.

3956248660680 is a `hidden beast` number, since 3 + 9 + 562 + 4 + 8 + 6 + 6 + 0 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3956248660673) and next prime (3956248660687).

It is not an unprimeable number, because it can be changed into a prime (3956248660687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289192624 + ... + 289206303.

It is an arithmetic number, because the mean of its divisors is an integer number (140984738700).

Almost surely, 23956248660680 is an apocalyptic number.

3956248660680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3956248660680 is an abundant number, since it is smaller than the sum of its proper divisors (9578286254520).

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

3956248660680 is a wasteful number, since it uses less digits than its factorization.

3956248660680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578398963 (or 578398956 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 3956248660680 in words is "three trillion, nine hundred fifty-six billion, two hundred forty-eight million, six hundred sixty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 578398927 1156797854 1735196781 2313595708 2891994635 3470393562 4627191416 5205590343 5783989270 6940787124 8675983905 10411180686 10989579613 11567978540 13881574248 17351967810 20822361372 21979159226 23135957080 26027951715 32968738839 34703935620 41644722744 43958318452 52055903430 54947898065 65937477678 69407871240 87916636904 98906216517 104111806860 109895796130 131874955356 164843694195 197812433034 208223613720 219791592260 263749910712 329687388390 395624866068 439583184520 494531082585 659374776780 791249732136 989062165170 1318749553560 1978124330340 3956248660680