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216131255928 = 233277339714797
BaseRepresentation
bin1100100101001001101…
…1010011111001111000
3202122212120002101120200
43021102123103321320
512020114100142203
6243142254522200
721420635235450
oct3112233237170
9678776071520
10216131255928
118372a506575
1235a79b06360
13174c5340723
14a66465cd60
15594e7459a3
hex32526d3e78

216131255928 has 192 divisors, whose sum is σ = 679895885760. Its totient is φ = 60748351488.

The previous prime is 216131255917. The next prime is 216131255929. The reversal of 216131255928 is 829552131612.

216131255928 is a `hidden beast` number, since 2 + 1 + 6 + 1 + 31 + 25 + 592 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216131255929) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14599026 + ... + 14613822.

It is an arithmetic number, because the mean of its divisors is an integer number (3541124405).

Almost surely, 2216131255928 is an apocalyptic number.

216131255928 is a gapful number since it is divisible by the number (28) 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 216131255928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339947942880).

216131255928 is an abundant number, since it is smaller than the sum of its proper divisors (463764629832).

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

216131255928 is a wasteful number, since it uses less digits than its factorization.

216131255928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15286 (or 15279 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The spelling of 216131255928 in words is "two hundred sixteen billion, one hundred thirty-one million, two hundred fifty-five thousand, nine hundred twenty-eight".