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18913878016 = 213111911047
BaseRepresentation
bin10001100111010110…
…101110000000000000
31210211010210112222121
4101213112232000000
5302213423044031
612404450014024
71236463211335
oct214726560000
953733715877
1018913878016
118026433550
1237ba277314
131a256759c7
14cb5d5a98c
1575a727011
hex4675ae000

18913878016 has 112 divisors (see below), whose sum is σ = 43439852160. Its totient is φ = 8143994880.

The previous prime is 18913877951. The next prime is 18913878031. The reversal of 18913878016 is 61087831981.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1706605 + ... + 1717651.

Almost surely, 218913878016 is an apocalyptic number.

18913878016 is a gapful number since it is divisible by the number (16) 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 18913878016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21719926080).

18913878016 is an abundant number, since it is smaller than the sum of its proper divisors (24525974144).

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

18913878016 is a wasteful number, since it uses less digits than its factorization.

18913878016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11103 (or 11079 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 52.

The spelling of 18913878016 in words is "eighteen billion, nine hundred thirteen million, eight hundred seventy-eight thousand, sixteen".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 256 304 352 418 512 608 704 836 1024 1216 1408 1672 2048 2432 2816 3344 4096 4864 5632 6688 8192 9728 11047 11264 13376 19456 22094 22528 26752 38912 44188 45056 53504 77824 88376 90112 107008 121517 155648 176752 209893 214016 243034 353504 419786 428032 486068 707008 839572 856064 972136 1414016 1679144 1712128 1944272 2308823 2828032 3358288 3888544 4617646 5656064 6716576 7777088 9235292 11312128 13433152 15554176 18470584 22624256 26866304 31108352 36941168 45248512 53732608 62216704 73882336 90497024 107465216 124433408 147764672 214930432 248866816 295529344 429860864 497733632 591058688 859721728 995467264 1182117376 1719443456 2364234752 4728469504 9456939008 18913878016