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18521117028 = 22323124168863
BaseRepresentation
bin10001001111111100…
…011101000101100100
31202210202202020012100
4101033330131011210
5300412401221103
612301455452100
71223653616511
oct211774350544
952722666170
1018521117028
117944762397
12370a827030
13199219a35b
14c79b1c308
15735ee35a3
hex44ff1d164

18521117028 has 72 divisors (see below), whose sum is σ = 48528736256. Its totient is φ = 5949676800.

The previous prime is 18521116931. The next prime is 18521117081. The reversal of 18521117028 is 82071112581.

18521117028 is a `hidden beast` number, since 18 + 521 + 117 + 0 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 18521116983 and 18521117001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234525 + ... + 303387.

Almost surely, 218521117028 is an apocalyptic number.

18521117028 is a gapful number since it is divisible by the number (18) 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 18521117028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24264368128).

18521117028 is an abundant number, since it is smaller than the sum of its proper divisors (30007619228).

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

18521117028 is a wasteful number, since it uses less digits than its factorization.

18521117028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69145 (or 69140 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 36.

The spelling of 18521117028 in words is "eighteen billion, five hundred twenty-one million, one hundred seventeen thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 241 279 372 482 558 723 964 1116 1446 2169 2892 4338 7471 8676 14942 22413 29884 44826 67239 68863 89652 134478 137726 206589 268956 275452 413178 619767 826356 1239534 2134753 2479068 4269506 6404259 8539012 12808518 16595983 19212777 25617036 33191966 38425554 49787949 66383932 76851108 99575898 149363847 199151796 298727694 514475473 597455388 1028950946 1543426419 2057901892 3086852838 4630279257 6173705676 9260558514 18521117028