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21130592256 = 21433371291
BaseRepresentation
bin10011101011011110…
…110100000000000000
32000112121221022021000
4103223132310000000
5321233412423011
613412433532000
71345431033144
oct235336640000
960477838230
1021130592256
118a63739794
124118714000
131cb99aa037
141046509224
1583a146356
hex4eb7b4000

21130592256 has 240 divisors, whose sum is σ = 64349145280. Its totient is φ = 6847856640.

The previous prime is 21130592233. The next prime is 21130592291. The reversal of 21130592256 is 65229503112.

It is a happy number.

21130592256 is a `hidden beast` number, since 2 + 1 + 13 + 0 + 592 + 2 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 21130592256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16366971 + ... + 16368261.

Almost surely, 221130592256 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 21130592256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32174572640).

21130592256 is an abundant number, since it is smaller than the sum of its proper divisors (43218553024).

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

21130592256 is an equidigital number, since it uses as much as digits as its factorization.

21130592256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 21130592256 in words is "twenty-one billion, one hundred thirty million, five hundred ninety-two thousand, two hundred fifty-six".