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18285193728 = 293211873343
BaseRepresentation
bin10001000001111000…
…011110101000000000
31202012022211002021100
4101001320132220000
5244422002144403
612222231054400
71215060403464
oct210170365000
952168732240
1018285193728
11783357375a
123663811400
131955345c79
14c566684a4
157204402a3
hex441e1ea00

18285193728 has 120 divisors (see below), whose sum is σ = 52832564928. Its totient is φ = 6088108032.

The previous prime is 18285193711. The next prime is 18285193733. The reversal of 18285193728 is 82739158281.

18285193728 is a `hidden beast` number, since 182 + 85 + 19 + 372 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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, 5468025 + ... + 5471367.

Almost surely, 218285193728 is an apocalyptic number.

18285193728 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 18285193728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26416282464).

18285193728 is an abundant number, since it is smaller than the sum of its proper divisors (34547371200).

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

18285193728 is a wasteful number, since it uses less digits than its factorization.

18285193728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4554 (or 4535 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The spelling of 18285193728 in words is "eighteen billion, two hundred eighty-five million, one hundred ninety-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1187 1536 2304 2374 3343 3561 4608 4748 6686 7122 9496 10029 10683 13372 14244 18992 20058 21366 26744 28488 30087 37984 40116 42732 53488 56976 60174 75968 80232 85464 106976 113952 120348 151936 160464 170928 213952 227904 240696 303872 320928 341856 427904 455808 481392 607744 641856 683712 855808 911616 962784 1283712 1367424 1711616 1823232 1925568 2567424 2734848 3851136 3968141 5134848 5469696 7702272 7936282 11904423 15404544 15872564 23808846 31745128 35713269 47617692 63490256 71426538 95235384 126980512 142853076 190470768 253961024 285706152 380941536 507922048 571412304 761883072 1015844096 1142824608 1523766144 2031688192 2285649216 3047532288 4571298432 6095064576 9142596864 18285193728