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13912308272 = 242941799257
BaseRepresentation
bin11001111010011110…
…01111101000110000
31022220120110111010202
430331033033220300
5211443022331042
610220301014332
71001521445342
oct147517175060
938816414122
1013912308272
11599a154135
1228432543a8
1314093b7795
1495d9ab292
155665b0632
hex33d3cfa30

13912308272 has 80 divisors (see below), whose sum is σ = 28929398400. Its totient is φ = 6468833280.

The previous prime is 13912308257. The next prime is 13912308283. The reversal of 13912308272 is 27280321931.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1498268 + ... + 1507524.

It is an arithmetic number, because the mean of its divisors is an integer number (361617480).

Almost surely, 213912308272 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 13912308272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14464699200).

13912308272 is an abundant number, since it is smaller than the sum of its proper divisors (15017090128).

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

13912308272 is a wasteful number, since it uses less digits than its factorization.

13912308272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9414 (or 9408 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The spelling of 13912308272 in words is "thirteen billion, nine hundred twelve million, three hundred eight thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 29 41 58 79 82 116 158 164 232 316 328 464 632 656 1189 1264 2291 2378 3239 4582 4756 6478 9164 9257 9512 12956 18328 18514 19024 25912 36656 37028 51824 74056 93931 148112 187862 268453 375724 379537 536906 731303 751448 759074 1073812 1462606 1502896 1518148 2147624 2925212 3036296 4295248 5850424 6072592 11006573 11700848 21207787 22013146 29983423 42415574 44026292 59966846 84831148 88052584 119933692 169662296 176105168 239867384 339324592 479734768 869519267 1739038534 3478077068 6956154136 13912308272