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18265042432 = 29721356003
BaseRepresentation
bin10001000000101011…
…100110111000000000
31202010220220021220001
4101000223212320000
5244401322324212
612220231125344
71214424204400
oct210053467000
952126807801
1018265042432
11782315a79a
123658b13854
13195110ba20
14c53b00800
1571d7ae657
hex440ae6e00

18265042432 has 120 divisors (see below), whose sum is σ = 45719089416. Its totient is φ = 7225602048.

The previous prime is 18265042429. The next prime is 18265042441. The reversal of 18265042432 is 23424056281.

It is a super-2 number, since 2×182650424322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18265042391 and 18265042400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 298143 + ... + 354145.

Almost surely, 218265042432 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 18265042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22859544708).

18265042432 is an abundant number, since it is smaller than the sum of its proper divisors (27454046984).

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

18265042432 is an equidigital number, since it uses as much as digits as its factorization.

18265042432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56048 (or 56025 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The spelling of 18265042432 in words is "eighteen billion, two hundred sixty-five million, forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 182 196 208 224 256 364 392 416 448 512 637 728 784 832 896 1274 1456 1568 1664 1792 2548 2912 3136 3328 3584 5096 5824 6272 6656 10192 11648 12544 20384 23296 25088 40768 46592 56003 81536 112006 163072 224012 326144 392021 448024 728039 784042 896048 1456078 1568084 1792096 2744147 2912156 3136168 3584192 5096273 5488294 5824312 6272336 7168384 10192546 10976588 11648624 12544672 14336768 20385092 21953176 23297248 25089344 28673536 35673911 40770184 43906352 46594496 50178688 71347822 81540368 87812704 93188992 100357376 142695644 163080736 175625408 186377984 200714752 285391288 326161472 351250816 372755968 570782576 652322944 702501632 1141565152 1304645888 1405003264 2283130304 2609291776 4566260608 9132521216 18265042432