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13977131904 = 27343793557
BaseRepresentation
bin11010000010001101…
…00001101110000000
31100002002102212110000
431001012201232000
5212111121210104
610230534240000
71003236442461
oct150106415600
940062385400
1013977131904
115a227aa08a
122860ab6000
131419963168
14968442d68
1556c117639
hex3411a1b80

13977131904 has 160 divisors (see below), whose sum is σ = 41717194200. Its totient is φ = 4645444608.

The previous prime is 13977131887. The next prime is 13977131921. The reversal of 13977131904 is 40913177931.

13977131904 is a `hidden beast` number, since 1 + 397 + 71 + 3 + 190 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (13977131887) and next prime (13977131921).

It is a self number, because there is not a number n which added to its sum of digits gives 13977131904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3927694 + ... + 3931250.

Almost surely, 213977131904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13977131904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20858597100).

13977131904 is an abundant number, since it is smaller than the sum of its proper divisors (27740062296).

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

13977131904 is an equidigital number, since it uses as much as digits as its factorization.

13977131904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3962 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The spelling of 13977131904 in words is "thirteen billion, nine hundred seventy-seven million, one hundred thirty-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 379 384 432 576 648 758 864 1137 1152 1296 1516 1728 2274 2592 3032 3411 3456 3557 4548 5184 6064 6822 7114 9096 10233 10368 10671 12128 13644 14228 18192 20466 21342 24256 27288 28456 30699 32013 36384 40932 42684 48512 54576 56912 61398 64026 72768 81864 85368 96039 109152 113824 122796 128052 145536 163728 170736 192078 218304 227648 245592 256104 288117 327456 341472 384156 436608 455296 491184 512208 576234 654912 682944 768312 982368 1024416 1152468 1309824 1348103 1365888 1536624 1964736 2048832 2304936 2696206 3073248 3929472 4044309 4097664 4609872 5392412 6146496 8088618 9219744 10784824 12132927 12292992 16177236 18439488 21569648 24265854 32354472 36398781 36878976 43139296 48531708 64708944 72797562 86278592 97063416 109196343 129417888 145595124 172557184 194126832 218392686 258835776 291190248 388253664 436785372 517671552 582380496 776507328 873570744 1164760992 1553014656 1747141488 2329521984 3494282976 4659043968 6988565952 13977131904