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18930669408 = 253473107199
BaseRepresentation
bin10001101000010110…
…110001011101100000
31210212022101122110000
4101220112301131200
5302232222410113
612410245540000
71240056015000
oct215026613540
953768348400
1018930669408
118034962132
123803a14600
131a28ca4841
14cb828c000
1575be42373
hex4685b1760

18930669408 has 480 divisors, whose sum is σ = 65862720000. Its totient is φ = 5331287808.

The previous prime is 18930669383. The next prime is 18930669431. The reversal of 18930669408 is 80496603981.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 95128893 + ... + 95129091.

It is an arithmetic number, because the mean of its divisors is an integer number (137214000).

Almost surely, 218930669408 is an apocalyptic number.

18930669408 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 18930669408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32931360000).

18930669408 is an abundant number, since it is smaller than the sum of its proper divisors (46932050592).

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

18930669408 is a wasteful number, since it uses less digits than its factorization.

18930669408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 18930669408 in words is "eighteen billion, nine hundred thirty million, six hundred sixty-nine thousand, four hundred eight".