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18939628512 = 253279394657
BaseRepresentation
bin10001101000111000…
…111100101111100000
31210212221020211000200
4101220320330233200
5302242021103022
612411205545200
71240225120560
oct215070745740
953787224020
1018939628512
118039a21252
123806a15200
131a2aac069c
14cb9540da0
1575cb11bac
hex468e3cbe0

18939628512 has 72 divisors (see below), whose sum is σ = 61553799216. Its totient is φ = 5411321856.

The previous prime is 18939628489. The next prime is 18939628517. The reversal of 18939628512 is 21582693981.

18939628512 is a `hidden beast` number, since 1 + 8 + 9 + 3 + 9 + 628 + 5 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×189396285123 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18939628517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4695313 + ... + 4699344.

It is an arithmetic number, because the mean of its divisors is an integer number (854913878).

Almost surely, 218939628512 is an apocalyptic number.

18939628512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18939628512 is an abundant number, since it is smaller than the sum of its proper divisors (42614170704).

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

18939628512 is a wasteful number, since it uses less digits than its factorization.

18939628512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9394680 (or 9394669 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The spelling of 18939628512 in words is "eighteen billion, nine hundred thirty-nine million, six hundred twenty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 9394657 18789314 28183971 37578628 56367942 65762599 75157256 84551913 112735884 131525198 150314512 169103826 197287797 225471768 263050396 300629024 338207652 394575594 450943536 526100792 591863391 676415304 789151188 901887072 1052201584 1183726782 1352830608 1578302376 2104403168 2367453564 2705661216 3156604752 4734907128 6313209504 9469814256 18939628512