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11478408984 = 23327158314387
BaseRepresentation
bin10101011000010101…
…01001111100011000
31002121221122120222200
422230022221330120
5142001433041414
65134554050200
7554305603140
oct125412517430
932557576880
1011478408984
114960298619
122284119960
13110c0900a3
147ac645920
15472a90109
hex2ac2a9f18

11478408984 has 96 divisors (see below), whose sum is σ = 35553323520. Its totient is φ = 3277245888.

The previous prime is 11478408983. The next prime is 11478408989. The reversal of 11478408984 is 48980487411.

11478408984 is a `hidden beast` number, since 1 + 147 + 8 + 408 + 98 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11478408984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11478408983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 790639 + ... + 805025.

It is an arithmetic number, because the mean of its divisors is an integer number (370347120).

Almost surely, 211478408984 is an apocalyptic number.

11478408984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11478408984 is an abundant number, since it is smaller than the sum of its proper divisors (24074914536).

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

11478408984 is a wasteful number, since it uses less digits than its factorization.

11478408984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15989 (or 15982 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 11478408984 in words is "eleven billion, four hundred seventy-eight million, four hundred eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 1583 3166 4749 6332 9498 11081 12664 14247 14387 18996 22162 28494 28774 33243 37992 43161 44324 56988 57548 66486 86322 88648 99729 100709 113976 115096 129483 132972 172644 199458 201418 258966 265944 302127 345288 398916 402836 517932 604254 797832 805672 906381 1035864 1208508 1812762 2417016 3625524 7251048 22774621 45549242 68323863 91098484 136647726 159422347 182196968 204971589 273295452 318844694 409943178 478267041 546590904 637689388 819886356 956534082 1275378776 1434801123 1639772712 1913068164 2869602246 3826136328 5739204492 11478408984