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3987340506960 = 243529678550653
BaseRepresentation
bin111010000001100000000…
…000111011011101010000
3112010012000121121211012120
4322001200000323131100
51010312033132210320
612251431533054240
7561035005044126
oct72014000733520
915105017554176
103987340506960
1112a8026848128
12544934327380
1322c00a138055
14dadb9ccd916
156dabe8b9440
hex3a06003b750

3987340506960 has 160 divisors (see below), whose sum is σ = 12977840615040. Its totient is φ = 1011302713344.

The previous prime is 3987340506949. The next prime is 3987340506983. The reversal of 3987340506960 is 696050437893.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 3987340506894 and 3987340506903.

It is a congruent number.

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, 3809007 + ... + 4741646.

It is an arithmetic number, because the mean of its divisors is an integer number (81111503844).

Almost surely, 23987340506960 is an apocalyptic number.

3987340506960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3987340506960 is an abundant number, since it is smaller than the sum of its proper divisors (8990500108080).

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

3987340506960 is a wasteful number, since it uses less digits than its factorization.

3987340506960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8550765 (or 8550759 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 60.

The spelling of 3987340506960 in words is "three trillion, nine hundred eighty-seven billion, three hundred forty million, five hundred six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 67 80 87 116 120 134 145 174 201 232 240 268 290 335 348 402 435 464 536 580 670 696 804 870 1005 1072 1160 1340 1392 1608 1740 1943 2010 2320 2680 3216 3480 3886 4020 5360 5829 6960 7772 8040 9715 11658 15544 16080 19430 23316 29145 31088 38860 46632 58290 77720 93264 116580 155440 233160 466320 8550653 17101306 25651959 34202612 42753265 51303918 68405224 85506530 102607836 128259795 136810448 171013060 205215672 247968937 256519590 342026120 410431344 495937874 513039180 572893751 684052240 743906811 991875748 1026078360 1145787502 1239844685 1487813622 1718681253 1983751496 2052156720 2291575004 2479689370 2864468755 2975627244 3437362506 3719534055 3967502992 4583150008 4959378740 5728937510 5951254488 6874725012 7439068110 8593406265 9166300016 9918757480 11457875020 11902508976 13749450024 14878136220 16613918779 17186812530 19837514960 22915750040 27498900048 29756272440 33227837558 34373625060 45831500080 49841756337 59512544880 66455675116 68747250120 83069593895 99683512674 132911350232 137494500240 166139187790 199367025348 249208781685 265822700464 332278375580 398734050696 498417563370 664556751160 797468101392 996835126740 1329113502320 1993670253480 3987340506960