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18974471052816 = 243217371693123737
BaseRepresentation
bin1000101000001110101101…
…00110110101111000010000
32111011221102111211012020100
410110013112212311320100
54441334204042142231
6104204430205412400
73665601036552246
oct424072646657020
974157374735210
1018974471052816
116056034278294
122165467b6a100
13a78392032bb6
144985254dc796
1522d8822b71e6
hex1141d69b5e10

18974471052816 has 240 divisors, whose sum is σ = 57780014436144. Its totient is φ = 5788421554176.

The previous prime is 18974471052809. The next prime is 18974471052839. The reversal of 18974471052816 is 61825017447981.

18974471052816 is a `hidden beast` number, since 1 + 8 + 9 + 7 + 447 + 105 + 2 + 81 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5741755270416 + 13232715782400 = 2396196^2 + 3637680^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153283300 + ... + 153407036.

Almost surely, 218974471052816 is an apocalyptic number.

18974471052816 is a gapful number since it is divisible by the number (16) 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 18974471052816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28890007218072).

18974471052816 is an abundant number, since it is smaller than the sum of its proper divisors (38805543383328).

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

18974471052816 is a wasteful number, since it uses less digits than its factorization.

18974471052816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125498 (or 125489 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 18974471052816 in words is "eighteen trillion, nine hundred seventy-four billion, four hundred seventy-one million, fifty-two thousand, eight hundred sixteen".