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18874104480 = 253257111721931
BaseRepresentation
bin10001100100111110…
…111111101010100000
31210201100221211221200
4101210332333222200
5302123232320410
612400505321200
71235501145450
oct214476775240
953640854850
1018874104480
118005a38060
1237a8a96200
131a1a35b27a
14cb0965d60
15756ebc3c0
hex464fbfaa0

18874104480 has 1728 divisors, whose sum is σ = 92688261120. Its totient is φ = 3384115200.

The previous prime is 18874104479. The next prime is 18874104541. The reversal of 18874104480 is 8440147881.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 608842065 + ... + 608842095.

It is an arithmetic number, because the mean of its divisors is an integer number (53639040).

Almost surely, 218874104480 is an apocalyptic number.

18874104480 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 18874104480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46344130560).

18874104480 is an abundant number, since it is smaller than the sum of its proper divisors (73814156640).

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

18874104480 is a wasteful number, since it uses less digits than its factorization.

18874104480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 18874104480 in words is "eighteen billion, eight hundred seventy-four million, one hundred four thousand, four hundred eighty".