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13992046272 = 263419142057
BaseRepresentation
bin11010000011111110…
…11010111011000000
31100010010111121010000
431001333122323000
5212123430440042
610232230040000
71003510300551
oct150177327300
940103447100
1013992046272
115a30166506
122865aa9000
13141ca85829
1496a406328
1556d5b174c
hex341fdaec0

13992046272 has 140 divisors (see below), whose sum is σ = 43660105720. Its totient is φ = 4418509824.

The previous prime is 13992046249. The next prime is 13992046303. The reversal of 13992046272 is 27264029931.

13992046272 is a `hidden beast` number, since 1 + 39 + 92 + 0 + 462 + 72 = 666.

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, 27468 + ... + 169524.

It is an arithmetic number, because the mean of its divisors is an integer number (311857898).

Almost surely, 213992046272 is an apocalyptic number.

13992046272 is a gapful number since it is divisible by the number (12) 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 13992046272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21830052860).

13992046272 is an abundant number, since it is smaller than the sum of its proper divisors (29668059448).

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

13992046272 is a wasteful number, since it uses less digits than its factorization.

13992046272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142100 (or 142081 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 13992046272 in words is "thirteen billion, nine hundred ninety-two million, forty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 144 152 162 171 192 216 228 288 304 324 342 432 456 513 576 608 648 684 864 912 1026 1216 1296 1368 1539 1728 1824 2052 2592 2736 3078 3648 4104 5184 5472 6156 8208 10944 12312 16416 24624 32832 49248 98496 142057 284114 426171 568228 852342 1136456 1278513 1704684 2272912 2557026 2699083 3409368 3835539 4545824 5114052 5398166 6818736 7671078 8097249 9091648 10228104 10796332 11506617 13637472 15342156 16194498 20456208 21592664 23013234 24291747 27274944 30684312 32388996 40912416 43185328 46026468 48583494 61368624 64777992 72875241 81824832 86370656 92052936 97166988 122737248 129555984 145750482 172741312 184105872 194333976 218625723 245474496 259111968 291500964 368211744 388667952 437251446 518223936 583001928 736423488 777335904 874502892 1166003856 1554671808 1749005784 2332007712 3498011568 4664015424 6996023136 13992046272