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18045022464 = 283271118863
BaseRepresentation
bin10000110011100100…
…010011000100000000
31201120120220010020100
4100303210103010000
5243424011204324
612142331242400
71206113105640
oct206344230400
951516803210
1018045022464
11771aa43507
1235b72a9400
1319176651b1
14c327ca520
157092ed4c9
hex433913100

18045022464 has 108 divisors (see below), whose sum is σ = 59460908416. Its totient is φ = 5155716096.

The previous prime is 18045022451. The next prime is 18045022481. The reversal of 18045022464 is 46422054081.

18045022464 is a `hidden beast` number, since 180 + 450 + 2 + 24 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 543304 + ... + 575559.

Almost surely, 218045022464 is an apocalyptic number.

18045022464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

18045022464 is an abundant number, since it is smaller than the sum of its proper divisors (41415885952).

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

18045022464 is a wasteful number, since it uses less digits than its factorization.

18045022464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118892 (or 1118875 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 18045022464 in words is "eighteen billion, forty-five million, twenty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 8064 16128 1118863 2237726 3356589 4475452 6713178 7832041 8950904 10069767 13426356 15664082 17901808 20139534 23496123 26852712 31328164 35803616 40279068 46992246 53705424 62656328 70488369 71607232 80558136 93984492 107410848 125312656 140976738 143214464 161116272 187968984 214821696 250625312 281953476 286428928 322232544 375937968 429643392 501250624 563906952 644465088 751875936 859286784 1002501248 1127813904 1288930176 1503751872 2005002496 2255627808 2577860352 3007503744 4511255616 6015007488 9022511232 18045022464