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18874443744 = 2535131931317
BaseRepresentation
bin10001100101000000…
…010010011111100000
31210201101121002100000
4101211000102133200
5302123324144434
612400520500000
71235504060532
oct214500223740
953641532300
1018874443744
118006149a42
1237a901a600
131a1a449810
14cb0a13852
15757037b99
hex4650127e0

18874443744 has 576 divisors, whose sum is σ = 65339688960. Its totient is φ = 5307586560.

The previous prime is 18874443739. The next prime is 18874443751. The reversal of 18874443744 is 44734447881.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59540674 + ... + 59540990.

It is an arithmetic number, because the mean of its divisors is an integer number (113436960).

Almost surely, 218874443744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18874443744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32669844480).

18874443744 is an abundant number, since it is smaller than the sum of its proper divisors (46465245216).

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

18874443744 is a wasteful number, since it uses less digits than its factorization.

18874443744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 385 counting only the distinct ones).

The product of its digits is 9633792, while the sum is 54.

The spelling of 18874443744 in words is "eighteen billion, eight hundred seventy-four million, four hundred forty-three thousand, seven hundred forty-four".