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216023260048992 = 25331122389840791
BaseRepresentation
bin110001000111100011010101…
…101011011010111001100000
31001022212121210102021210001000
4301013203111223122321200
5211303311114033031432
62043235414325112000
763334110523440234
oct6107432553327140
91038777712253030
10216023260048992
1162916a4a645900
122028a908858600
13936cba1686996
143b4b81dba45c4
1519e93d9ee657c
hexc478d5adae60

216023260048992 has 288 divisors, whose sum is σ = 722664956321280. Its totient is φ = 62615436998400.

The previous prime is 216023260048987. The next prime is 216023260049011. The reversal of 216023260048992 is 299840062320612.

216023260048992 is a `hidden beast` number, since 2 + 1 + 6 + 0 + 23 + 2 + 600 + 4 + 8 + 9 + 9 + 2 = 666.

216023260048992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×2160232600489922 (a number of 29 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 47 ways as a sum of consecutive naturals, for example, 42515884 + ... + 47324907.

It is an arithmetic number, because the mean of its divisors is an integer number (2509253320560).

Almost surely, 2216023260048992 is an apocalyptic number.

216023260048992 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

216023260048992 is an abundant number, since it is smaller than the sum of its proper divisors (506641696272288).

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

216023260048992 is a wasteful number, since it uses less digits than its factorization.

216023260048992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89840855 (or 89840830 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 216023260048992 in words is "two hundred sixteen trillion, twenty-three billion, two hundred sixty million, forty-eight thousand, nine hundred ninety-two".