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19681740960 = 253575857661
BaseRepresentation
bin10010010101000111…
…111000100010100000
31212210122200000220220
4102111013320202200
5310302011202320
613013000003040
71264506015660
oct222507704240
955718600826
1019681740960
11838a914322
123993460480
131b18785c8b
14d49d1c1a0
157a2d51e40
hex4951f88a0

19681740960 has 96 divisors (see below), whose sum is σ = 70854279552. Its totient is φ = 4498682880.

The previous prime is 19681740893. The next prime is 19681740961. The reversal of 19681740960 is 6904718691.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (19681740961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2925471 + ... + 2932190.

It is an arithmetic number, because the mean of its divisors is an integer number (738065412).

Almost surely, 219681740960 is an apocalyptic number.

19681740960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19681740960 is an abundant number, since it is smaller than the sum of its proper divisors (51172538592).

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

19681740960 is a wasteful number, since it uses less digits than its factorization.

19681740960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5857686 (or 5857678 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The spelling of 19681740960 in words is "nineteen billion, six hundred eighty-one million, seven hundred forty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 5857661 11715322 17572983 23430644 29288305 35145966 41003627 46861288 58576610 70291932 82007254 87864915 93722576 117153220 123010881 140583864 164014508 175729830 187445152 205018135 234306440 246021762 281167728 328029016 351459660 410036270 468612880 492043524 562335456 615054405 656058032 702919320 820072540 937225760 984087048 1230108810 1312116064 1405838640 1640145080 1968174096 2460217620 2811677280 3280290160 3936348192 4920435240 6560580320 9840870480 19681740960