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18923368464 = 243271113532477
BaseRepresentation
bin10001100111111010…
…111011000000010000
31210211210122201102200
4101213322323000100
5302223340242324
612405425243200
71236636656310
oct214772730020
953753581380
1018923368464
1180308258a0
123801493500
131a27619660
14cb730b440
1575b49dec9
hex467ebb010

18923368464 has 480 divisors, whose sum is σ = 72476861184. Its totient is φ = 4449669120.

The previous prime is 18923368447. The next prime is 18923368469. The reversal of 18923368464 is 46486332981.

18923368464 is a `hidden beast` number, since 1 + 8 + 92 + 33 + 68 + 464 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 18923368464.

It is not an unprimeable number, because it can be changed into a prime (18923368469) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7638394 + ... + 7640870.

Almost surely, 218923368464 is an apocalyptic number.

18923368464 is a gapful number since it is divisible by the number (14) 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 18923368464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36238430592).

18923368464 is an abundant number, since it is smaller than the sum of its proper divisors (53553492720).

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

18923368464 is a wasteful number, since it uses less digits than its factorization.

18923368464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2575 (or 2566 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 18923368464 in words is "eighteen billion, nine hundred twenty-three million, three hundred sixty-eight thousand, four hundred sixty-four".