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213027999360 = 27351143234571
BaseRepresentation
bin1100011001100101110…
…1010100111010000000
3202100212021202121212020
43012121131110322000
511442240131434420
6241510321201440
721251014055301
oct3063135247200
9670767677766
10213027999360
118238782aa20
1235352790280
131711c445337
14a44c4587a8
15581c0a7340
hex3199754e80

213027999360 has 256 divisors, whose sum is σ = 757986577920. Its totient is φ = 50441932800.

The previous prime is 213027999337. The next prime is 213027999467. The reversal of 213027999360 is 63999720312.

It is a super-2 number, since 2×2130279993602 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 790875 + ... + 1025445.

It is an arithmetic number, because the mean of its divisors is an integer number (2960885070).

Almost surely, 2213027999360 is an apocalyptic number.

213027999360 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 213027999360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378993288960).

213027999360 is an abundant number, since it is smaller than the sum of its proper divisors (544958578560).

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

213027999360 is a wasteful number, since it uses less digits than its factorization.

213027999360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234647 (or 234635 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 51.

The spelling of 213027999360 in words is "two hundred thirteen billion, twenty-seven million, nine hundred ninety-nine thousand, three hundred sixty".