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18941285376000 = 213335313151349
BaseRepresentation
bin1000100111010000111001…
…00101100010000000000000
32111001202202202010010211000
410103220130211202000000
54440313223024013000
6104141301213252000
73663314465140011
oct423503445420000
974052682103730
1018941285376000
116042a548840a9
12215ab46194000
13a75203975840
14496a97d57008
1522ca8db6e000
hex113a1c962000

18941285376000 has 1792 divisors, whose sum is σ = 76140844416000. Its totient is φ = 4618321920000.

The previous prime is 18941285375941. The next prime is 18941285376001. The reversal of 18941285376000 is 67358214981.

18941285376000 is a `hidden beast` number, since 1 + 8 + 9 + 4 + 1 + 28 + 5 + 3 + 7 + 600 + 0 = 666.

It is a super-2 number, since 2×189412853760002 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (18941285376001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54273023826 + ... + 54273024174.

It is an arithmetic number, because the mean of its divisors is an integer number (42489310500).

It is a 1-persistent number, because it is pandigital, but 2⋅18941285376000 = 37882570752000 is not.

Almost surely, 218941285376000 is an apocalyptic number.

18941285376000 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 18941285376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38070422208000).

18941285376000 is an abundant number, since it is smaller than the sum of its proper divisors (57199559040000).

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

18941285376000 is a wasteful number, since it uses less digits than its factorization.

18941285376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 18941285376000 in words is "eighteen trillion, nine hundred forty-one billion, two hundred eighty-five million, three hundred seventy-six thousand".