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18893716416 = 2632612691999
BaseRepresentation
bin10001100110001001…
…110011101111000000
31210202201212020110200
4101212021303233000
5302143242411131
612402445525200
71236126640221
oct214611635700
953681766420
1018893716416
118016012873
1237b3573800
131a21436b73
14cb33cd248
15758a932e6
hex466273bc0

18893716416 has 168 divisors, whose sum is σ = 55275480000. Its totient is φ = 6168545280.

The previous prime is 18893716339. The next prime is 18893716421. The reversal of 18893716416 is 61461739881.

18893716416 is a `hidden beast` number, since 188 + 9 + 37 + 16 + 416 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9450585 + ... + 9452583.

Almost surely, 218893716416 is an apocalyptic number.

18893716416 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 18893716416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27637740000).

18893716416 is an abundant number, since it is smaller than the sum of its proper divisors (36381763584).

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

18893716416 is a wasteful number, since it uses less digits than its factorization.

18893716416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2347 (or 2334 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The spelling of 18893716416 in words is "eighteen billion, eight hundred ninety-three million, seven hundred sixteen thousand, four hundred sixteen".