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213630344550 = 232527223894733
BaseRepresentation
bin1100011011110101011…
…1000101110101100110
3202102102021011221010100
43012331113011311212
512000003332011200
6242050155404530
721301646652600
oct3067527056546
9672367157110
10213630344550
118266683a867
12354a0453746
13171b71824cc
14a4a8452170
155854dd9d00
hex31bd5c5d66

213630344550 has 432 divisors, whose sum is σ = 704665746720. Its totient is φ = 46172206080.

The previous prime is 213630344533. The next prime is 213630344563. The reversal of 213630344550 is 55443036312.

213630344550 is a `hidden beast` number, since 2 + 1 + 3 + 63 + 0 + 3 + 44 + 550 = 666.

It is a super-2 number, since 2×2136303445502 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 45133984 + ... + 45138716.

It is an arithmetic number, because the mean of its divisors is an integer number (1631170710).

Almost surely, 2213630344550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213630344550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352332873360).

213630344550 is an abundant number, since it is smaller than the sum of its proper divisors (491035402170).

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

213630344550 is a wasteful number, since it uses less digits than its factorization.

213630344550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4877 (or 4862 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 213630344550 in words is "two hundred thirteen billion, six hundred thirty million, three hundred forty-four thousand, five hundred fifty".