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231397689600 = 28345271121731
BaseRepresentation
bin1101011110000001100…
…0001000100100000000
3211010021111120120120000
43113200120020210000
512242400302031400
6254145211320000
722501151623440
oct3274030104400
9733244516500
10231397689600
118a153a66100
1238a1a750000
1318a8913422c
14b2b1dda120
156044b38600
hex35e0608900

231397689600 has 3240 divisors, whose sum is σ = 1174713813504. Its totient is φ = 43794432000.

The previous prime is 231397689577. The next prime is 231397689637. The reversal of 231397689600 is 6986793132.

231397689600 is a `hidden beast` number, since 23 + 1 + 3 + 9 + 7 + 6 + 8 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 7464441585 + ... + 7464441615.

Almost surely, 2231397689600 is an apocalyptic number.

231397689600 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 231397689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587356906752).

231397689600 is an abundant number, since it is smaller than the sum of its proper divisors (943316123904).

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

231397689600 is a wasteful number, since it uses less digits than its factorization.

231397689600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 231397689600 in words is "two hundred thirty-one billion, three hundred ninety-seven million, six hundred eighty-nine thousand, six hundred".