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18006359408640 = 219355231229
BaseRepresentation
bin1000001100000011011101…
…01010000000000000000000
32100202101120010222002100000
410012001232222000000000
54330004011002034030
6102144001325200000
73535626241423521
oct406015652000000
970671503862300
1018006359408640
1158124aa509079
122029905400000
13a07cb9416c75
14463726216848
152135c0337860
hex10606ea80000

18006359408640 has 960 divisors, whose sum is σ = 67603391856000. Its totient is φ = 4589189332992.

The previous prime is 18006359408629. The next prime is 18006359408651. The reversal of 18006359408640 is 4680495360081.

18006359408640 is a `hidden beast` number, since 1 + 8 + 0 + 0 + 6 + 3 + 594 + 0 + 8 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (18006359408629) and next prime (18006359408651).

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14651227546 + ... + 14651228774.

It is an arithmetic number, because the mean of its divisors is an integer number (70420199850).

Almost surely, 218006359408640 is an apocalyptic number.

18006359408640 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 18006359408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33801695928000).

18006359408640 is an abundant number, since it is smaller than the sum of its proper divisors (49597032447360).

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

18006359408640 is an frugal number, since it uses more digits than its factorization.

18006359408640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 18006359408640 in words is "eighteen trillion, six billion, three hundred fifty-nine million, four hundred eight thousand, six hundred forty".