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18668143872 = 28347219967
BaseRepresentation
bin10001011000101101…
…010100010100000000
31210012000101222010000
4101120231110110000
5301213021100442
612324231040000
71230420414300
oct213055242400
953160358100
1018668143872
117a0a753884
12374bb10000
1319b6797ba1
14c91471600
15743d86d4c
hex458b54500

18668143872 has 540 divisors, whose sum is σ = 68231745120. Its totient is φ = 5047805952.

The previous prime is 18668143861. The next prime is 18668143877. The reversal of 18668143872 is 27834186681.

18668143872 is a `hidden beast` number, since 1 + 8 + 66 + 81 + 438 + 72 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18668143877) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 19304733 + ... + 19305699.

Almost surely, 218668143872 is an apocalyptic number.

18668143872 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 18668143872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34115872560).

18668143872 is an abundant number, since it is smaller than the sum of its proper divisors (49563601248).

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

18668143872 is an equidigital number, since it uses as much as digits as its factorization.

18668143872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 998 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 18668143872 in words is "eighteen billion, six hundred sixty-eight million, one hundred forty-three thousand, eight hundred seventy-two".