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18937354240 = 21157349757
BaseRepresentation
bin10001101000110000…
…010001100000000000
31210212202222021022101
4101220300101200000
5302240430313430
612411045120144
71240166566210
oct215060214000
953782867271
1018937354240
118038708592
1238060b9054
131a2a4a546c
14cb910c240
1575c812dca
hex468c11800

18937354240 has 192 divisors, whose sum is σ = 52147368000. Its totient is φ = 6465650688.

The previous prime is 18937354223. The next prime is 18937354253. The reversal of 18937354240 is 4245373981.

It is a super-2 number, since 2×189373542402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25015942 + ... + 25016698.

It is an arithmetic number, because the mean of its divisors is an integer number (271600875).

Almost surely, 218937354240 is an apocalyptic number.

18937354240 is a gapful number since it is divisible by the number (10) 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 18937354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26073684000).

18937354240 is an abundant number, since it is smaller than the sum of its proper divisors (33210013760).

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

18937354240 is an equidigital number, since it uses as much as digits as its factorization.

18937354240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 18937354240 in words is "eighteen billion, nine hundred thirty-seven million, three hundred fifty-four thousand, two hundred forty".