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231327764928 = 2632131741127349
BaseRepresentation
bin1101011101110000110…
…1011001000111000000
3211010002122000000221100
43113130031121013000
512242224401434203
6254134232454400
722466342362431
oct3273415310700
9733078000840
10231327764928
118a118546717
12389bb24a400
1318a777c0aa0
14b2a69d7488
15603d924ea3
hex35dc3591c0

231327764928 has 672 divisors, whose sum is σ = 782843443200. Its totient is φ = 64656506880.

The previous prime is 231327764897. The next prime is 231327764929. The reversal of 231327764928 is 829467723132.

It is a happy number.

231327764928 is a `hidden beast` number, since 231 + 327 + 7 + 64 + 9 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231327764929) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 662830098 + ... + 662830446.

It is an arithmetic number, because the mean of its divisors is an integer number (1164945600).

Almost surely, 2231327764928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231327764928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391421721600).

231327764928 is an abundant number, since it is smaller than the sum of its proper divisors (551515678272).

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

231327764928 is a wasteful number, since it uses less digits than its factorization.

231327764928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 552 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 231327764928 in words is "two hundred thirty-one billion, three hundred twenty-seven million, seven hundred sixty-four thousand, nine hundred twenty-eight".