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212696939520 = 21032513355063
BaseRepresentation
bin1100011000010110111…
…0011011110000000000
3202100000012211001010200
43012011232123300000
511441100404031040
6241413413325200
721236554104252
oct3060556336000
9670005731120
10212696939520
118222797184a
123527b936800
1317098991040
14a41a4bbcd2
1557eceb0630
hex3185b9bc00

212696939520 has 264 divisors, whose sum is σ = 793683080736. Its totient is φ = 52356022272.

The previous prime is 212696939503. The next prime is 212696939549. The reversal of 212696939520 is 25939696212.

It is a happy number.

212696939520 is a `hidden beast` number, since 2 + 1 + 26 + 9 + 6 + 93 + 9 + 520 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 421509 + ... + 776571.

Almost surely, 2212696939520 is an apocalyptic number.

212696939520 is a gapful number since it is divisible by the number (20) 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 212696939520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396841540368).

212696939520 is an abundant number, since it is smaller than the sum of its proper divisors (580986141216).

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

212696939520 is a wasteful number, since it uses less digits than its factorization.

212696939520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355107 (or 355086 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 212696939520 in words is "two hundred twelve billion, six hundred ninety-six million, nine hundred thirty-nine thousand, five hundred twenty".