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18385613136 = 24321121055189
BaseRepresentation
bin10001000111110111…
…100011000101010000
31202110022202220210200
4101013313203011100
5300123204110021
612240215255200
71220420063442
oct210767430520
952408686720
1018385613136
117885221300
12369137a500
1319700a5637
14c65b28492
15729179126
hex447de3150

18385613136 has 90 divisors (see below), whose sum is σ = 56557128810. Its totient is φ = 5571392640.

The previous prime is 18385613119. The next prime is 18385613153. The reversal of 18385613136 is 63131658381.

18385613136 is a `hidden beast` number, since 1 + 83 + 8 + 561 + 3 + 1 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (18385613119) and next prime (18385613153).

It can be written as a sum of positive squares in only one way, i.e., 17950640400 + 434972736 = 133980^2 + 20856^2 .

It is a junction number, because it is equal to n+sod(n) for n = 18385613091 and 18385613100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 510171 + ... + 545018.

Almost surely, 218385613136 is an apocalyptic number.

18385613136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

18385613136 is an abundant number, since it is smaller than the sum of its proper divisors (38171515674).

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

18385613136 is a wasteful number, since it uses less digits than its factorization.

18385613136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055225 (or 1055205 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 18385613136 in words is "eighteen billion, three hundred eighty-five million, six hundred thirteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1584 1936 2178 2904 4356 5808 8712 17424 1055189 2110378 3165567 4220756 6331134 8441512 9496701 11607079 12662268 16883024 18993402 23214158 25324536 34821237 37986804 46428316 50649072 69642474 75973608 92856632 104463711 127677869 139284948 151947216 185713264 208927422 255355738 278569896 383033607 417854844 510711476 557139792 766067214 835709688 1021422952 1149100821 1532134428 1671419376 2042845904 2298201642 3064268856 4596403284 6128537712 9192806568 18385613136