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19686968960 = 275475911093
BaseRepresentation
bin10010010101011011…
…110100111010000000
31212211000111122101112
4102111123310322000
5310304331001320
613013304022452
71264601321651
oct222533647200
955730448345
1019686968960
11839286518a
123995161a28
131b19896779
14d4a8bd528
157a3535ec5
hex4956f4e80

19686968960 has 128 divisors (see below), whose sum is σ = 48884601600. Its totient is φ = 7575924736.

The previous prime is 19686968947. The next prime is 19686968989. The reversal of 19686968960 is 6986968691.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1769174 + ... + 1780266.

It is an arithmetic number, because the mean of its divisors is an integer number (381910950).

Almost surely, 219686968960 is an apocalyptic number.

19686968960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19686968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24442300800).

19686968960 is an abundant number, since it is smaller than the sum of its proper divisors (29197632640).

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

19686968960 is a wasteful number, since it uses less digits than its factorization.

19686968960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11218 (or 11206 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 68.

The spelling of 19686968960 in words is "nineteen billion, six hundred eighty-six million, nine hundred sixty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 59 64 80 94 118 128 160 188 235 236 295 320 376 470 472 590 640 752 940 944 1180 1504 1880 1888 2360 2773 3008 3760 3776 4720 5546 6016 7520 7552 9440 11092 11093 13865 15040 18880 22184 22186 27730 30080 37760 44368 44372 55460 55465 88736 88744 110920 110930 177472 177488 221840 221860 354944 354976 443680 443720 521371 654487 709952 887360 887440 1042742 1308974 1419904 1774720 1774880 2085484 2606855 2617948 3272435 3549760 4170968 5213710 5235896 6544870 7099520 8341936 10427420 10471792 13089740 16683872 20854840 20943584 26179480 30760889 33367744 41709680 41887168 52358960 61521778 66735488 83419360 83774336 104717920 123043556 153804445 166838720 209435840 246087112 307608890 333677440 418871680 492174224 615217780 984348448 1230435560 1968696896 2460871120 3937393792 4921742240 9843484480 19686968960