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18665434368 = 2833737873
BaseRepresentation
bin10001011000100010…
…111110110100000000
31210011211022022101000
4101120202332310000
5301211322344433
612324053012000
71230355401000
oct213042766400
953154268330
1018665434368
117a09173119
12374b024000
1319b6059829
14c90d68000
157439ee113
hex4588bed00

18665434368 has 288 divisors, whose sum is σ = 64377824000. Its totient is φ = 5332303872.

The previous prime is 18665434331. The next prime is 18665434379. The reversal of 18665434368 is 86343456681.

18665434368 is a `hidden beast` number, since 1 + 8 + 66 + 543 + 4 + 36 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×186654343682 (a number of 21 digits) contains 22 as substring.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2366880 + ... + 2374752.

Almost surely, 218665434368 is an apocalyptic number.

18665434368 is a gapful number since it is divisible by the number (18) 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 18665434368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32188912000).

18665434368 is an abundant number, since it is smaller than the sum of its proper divisors (45712389632).

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

18665434368 is an frugal number, since it uses more digits than its factorization.

18665434368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7919 (or 7885 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 18665434368 in words is "eighteen billion, six hundred sixty-five million, four hundred thirty-four thousand, three hundred sixty-eight".