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18507893472 = 253417676269
BaseRepresentation
bin10001001111001010…
…000000101011100000
31202202211212101220000
4101033022000223200
5300401010042342
612300304220000
71223433333045
oct211712005340
952684771800
1018507893472
117938250332
12370630a600
13198c51a473
14c780791cc
15734c8044c
hex44f280ae0

18507893472 has 240 divisors, whose sum is σ = 58502561040. Its totient is φ = 5718822912.

The previous prime is 18507893471. The next prime is 18507893477. The reversal of 18507893472 is 27439870581.

It is a happy number.

18507893472 is a `hidden beast` number, since 1 + 8 + 507 + 8 + 93 + 47 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18507893471) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 2949154 + ... + 2955422.

It is an arithmetic number, because the mean of its divisors is an integer number (243760671).

Almost surely, 218507893472 is an apocalyptic number.

18507893472 is a gapful number since it is divisible by the number (12) 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 18507893472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29251280520).

18507893472 is an abundant number, since it is smaller than the sum of its proper divisors (39994667568).

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

18507893472 is a wasteful number, since it uses less digits than its factorization.

18507893472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6375 (or 6358 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 18507893472 in words is "eighteen billion, five hundred seven million, eight hundred ninety-three thousand, four hundred seventy-two".