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216782127468 = 22332007241921
BaseRepresentation
bin1100100111100100111…
…0001100000101101100
3202201112220211002111000
43021321032030011230
512022432211034333
6243331025200300
721443030452224
oct3117116140554
9681486732430
10216782127468
1183a3394aa35
123601ba90090
131759a13b30a
14a6c6c89084
15598b961713
hex327938c16c

216782127468 has 24 divisors (see below), whose sum is σ = 562027738160. Its totient is φ = 72260709120.

The previous prime is 216782127461. The next prime is 216782127469. The reversal of 216782127468 is 864721287612.

216782127468 is a `hidden beast` number, since 2 + 167 + 8 + 2 + 12 + 7 + 468 = 666.

216782127468 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (216782127461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1003620853 + ... + 1003621068.

Almost surely, 2216782127468 is an apocalyptic number.

It is an amenable number.

216782127468 is an abundant number, since it is smaller than the sum of its proper divisors (345245610692).

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

216782127468 is a wasteful number, since it uses less digits than its factorization.

216782127468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007241934 (or 2007241926 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The spelling of 216782127468 in words is "two hundred sixteen billion, seven hundred eighty-two million, one hundred twenty-seven thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 2007241921 4014483842 6021725763 8028967684 12043451526 18065177289 24086903052 36130354578 54195531867 72260709156 108391063734 216782127468