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13630304976 = 243976014871
BaseRepresentation
bin11001011000110110…
…11111001011010000
31022011220211020100020
430230123133023100
5210403324224401
610132304423440
7661525452321
oct145433371320
938156736306
1013630304976
115864a51962
122784917b80
131392b4b322
14934360448
1554b958d36
hex32c6df2d0

13630304976 has 80 divisors (see below), whose sum is σ = 35641135488. Its totient is φ = 4488192000.

The previous prime is 13630304951. The next prime is 13630304981. The reversal of 13630304976 is 67940303631.

It is a congruent number.

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, 2795821 + ... + 2800691.

Almost surely, 213630304976 is an apocalyptic number.

13630304976 is a gapful number since it is divisible by the number (16) 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 13630304976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17820567744).

13630304976 is an abundant number, since it is smaller than the sum of its proper divisors (22010830512).

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

13630304976 is a wasteful number, since it uses less digits than its factorization.

13630304976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5580 (or 5574 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 42.

The spelling of 13630304976 in words is "thirteen billion, six hundred thirty million, three hundred four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 97 194 291 388 582 601 776 1164 1202 1552 1803 2328 2404 3606 4656 4808 4871 7212 9616 9742 14424 14613 19484 28848 29226 38968 58297 58452 77936 116594 116904 174891 233188 233808 349782 466376 472487 699564 932752 944974 1399128 1417461 1889948 2798256 2834922 2927471 3779896 5669844 5854942 7559792 8782413 11339688 11709884 17564826 22679376 23419768 35129652 46839536 70259304 140518608 283964687 567929374 851894061 1135858748 1703788122 2271717496 3407576244 4543434992 6815152488 13630304976