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214465532868 = 22344771293677
BaseRepresentation
bin1100011110111100100…
…1000101001111000100
3202111120110201220010000
43013233021011033010
512003211134022433
6242305112401300
721331440644136
oct3075711051704
9674513656100
10214465532868
1182a55225144
12356940a6230
13172bb205a92
14a54733b056
1558a33b3113
hex31ef2453c4

214465532868 has 240 divisors, whose sum is σ = 583491009024. Its totient is φ = 68645041920.

The previous prime is 214465532791. The next prime is 214465532873. The reversal of 214465532868 is 868235564412.

214465532868 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 6 + 553 + 2 + 86 + 8 = 666.

214465532868 is digitally balanced in base 2, 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 316787746 + ... + 316788422.

Almost surely, 2214465532868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214465532868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291745504512).

214465532868 is an abundant number, since it is smaller than the sum of its proper divisors (369025476156).

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

214465532868 is a wasteful number, since it uses less digits than its factorization.

214465532868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1093 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The spelling of 214465532868 in words is "two hundred fourteen billion, four hundred sixty-five million, five hundred thirty-two thousand, eight hundred sixty-eight".