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18307991424 = 2731719147607
BaseRepresentation
bin10001000011001111…
…011100011110000000
31202020220201022211110
4101003033130132000
5244443321211144
612224403443320
71215455234202
oct210317343600
952226638743
1018307991424
117845424a28
12366b386540
131959c98928
14c596c0772
157224450b9
hex4433dc780

18307991424 has 128 divisors (see below), whose sum is σ = 54201657600. Its totient is φ = 5441347584.

The previous prime is 18307991389. The next prime is 18307991447. The reversal of 18307991424 is 42419970381.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 50229 + ... + 197835.

It is an arithmetic number, because the mean of its divisors is an integer number (423450450).

Almost surely, 218307991424 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 18307991424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27100828800).

18307991424 is an abundant number, since it is smaller than the sum of its proper divisors (35893666176).

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

18307991424 is a wasteful number, since it uses less digits than its factorization.

18307991424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147660 (or 147648 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 18307991424 in words is "eighteen billion, three hundred seven million, nine hundred ninety-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 64 68 76 96 102 114 128 136 152 192 204 228 272 304 323 384 408 456 544 608 646 816 912 969 1088 1216 1292 1632 1824 1938 2176 2432 2584 3264 3648 3876 5168 6528 7296 7752 10336 15504 20672 31008 41344 62016 124032 147607 295214 442821 590428 885642 1180856 1771284 2361712 2509319 2804533 3542568 4723424 5018638 5609066 7085136 7527957 8413599 9446848 10037276 11218132 14170272 15055914 16827198 18893696 20074552 22436264 28340544 30111828 33654396 40149104 44872528 47677061 56681088 60223656 67308792 80298208 89745056 95354122 120447312 134617584 143031183 160596416 179490112 190708244 240894624 269235168 286062366 321192832 358980224 381416488 481789248 538470336 572124732 762832976 963578496 1076940672 1144249464 1525665952 2288498928 3051331904 4576997856 6102663808 9153995712 18307991424