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216509192432856 = 23323007072117123
BaseRepresentation
bin110001001110100111111001…
…100000010110110011011000
31001101121002001212210112210200
4301032213321200112303120
5211334241311230322411
62044250541102342200
763414162423523521
oct6116477140266330
91041532055715720
10216509192432856
1162a9403a822064
1220348b2258a960
1393a69631b012b
143b6715a94d848
151a06d7aadbe56
hexc4e9f9816cd8

216509192432856 has 24 divisors (see below), whose sum is σ = 586379062839180. Its totient is φ = 72169730810928.

The previous prime is 216509192432851. The next prime is 216509192432909. The reversal of 216509192432856 is 658234291905612.

216509192432856 is a `hidden beast` number, since 2 + 1 + 6 + 5 + 0 + 9 + 192 + 432 + 8 + 5 + 6 = 666.

216509192432856 is digitally balanced in base 2 and base 4, because in such bases 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 (24).

It is a junction number, because it is equal to n+sod(n) for n = 216509192432793 and 216509192432802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216509192432851) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1503536058490 + ... + 1503536058633.

Almost surely, 2216509192432856 is an apocalyptic number.

It is an amenable number.

216509192432856 is an abundant number, since it is smaller than the sum of its proper divisors (369869870406324).

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

216509192432856 is a wasteful number, since it uses less digits than its factorization.

216509192432856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3007072117135 (or 3007072117128 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 216509192432856 in words is "two hundred sixteen trillion, five hundred nine billion, one hundred ninety-two million, four hundred thirty-two thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3007072117123 6014144234246 9021216351369 12028288468492 18042432702738 24056576936984 27063649054107 36084865405476 54127298108214 72169730810952 108254596216428 216509192432856