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213855139008 = 26337219307433
BaseRepresentation
bin1100011100101011000…
…0100111010011000000
3202102222221011200011000
43013022300213103000
512000433403422013
6242124345452000
721310346455200
oct3071260472300
9672887150130
10213855139008
1182771718205
12355437a1000
131722190b294
14a4ca24a400
1558699e0973
hex31cac274c0

213855139008 has 672 divisors, whose sum is σ = 774121286400. Its totient is φ = 57563799552.

The previous prime is 213855138997. The next prime is 213855139039. The reversal of 213855139008 is 800931558312.

213855139008 is a `hidden beast` number, since 2 + 1 + 3 + 8 + 551 + 3 + 90 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 493891560 + ... + 493891992.

It is an arithmetic number, because the mean of its divisors is an integer number (1151966200).

Almost surely, 2213855139008 is an apocalyptic number.

213855139008 is a gapful number since it is divisible by the number (28) 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 213855139008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387060643200).

213855139008 is an abundant number, since it is smaller than the sum of its proper divisors (560266147392).

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

213855139008 is a wasteful number, since it uses less digits than its factorization.

213855139008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 213855139008 in words is "two hundred thirteen billion, eight hundred fifty-five million, one hundred thirty-nine thousand, eight".