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216525976380 = 22325717193071733
BaseRepresentation
bin1100100110100111110…
…1000011001100111100
3202200220001211021020200
43021221331003030330
512021421122221010
6243245355043500
721433500301110
oct3115175031474
9680801737220
10216525976380
11839122a591a
1235b6a140590
1317559053c1c
14a6a0c4b740
155974214cc0
hex3269f4333c

216525976380 has 576 divisors, whose sum is σ = 839817538560. Its totient is φ = 43959656448.

The previous prime is 216525976327. The next prime is 216525976421. The reversal of 216525976380 is 83679525612.

216525976380 is a `hidden beast` number, since 2 + 1 + 6 + 5 + 259 + 7 + 6 + 380 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 124941994 + ... + 124943726.

It is an arithmetic number, because the mean of its divisors is an integer number (1458016560).

Almost surely, 2216525976380 is an apocalyptic number.

216525976380 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 216525976380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419908769280).

216525976380 is an abundant number, since it is smaller than the sum of its proper divisors (623291562180).

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

216525976380 is a wasteful number, since it uses less digits than its factorization.

216525976380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2098 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 216525976380 in words is "two hundred sixteen billion, five hundred twenty-five million, nine hundred seventy-six thousand, three hundred eighty".