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231088066560 = 21233513173161
BaseRepresentation
bin1101011100110111101…
…1000001000000000000
3211002110220222002121000
43113031323001000000
512241232021112220
6254054351132000
722460402104401
oct3271573010000
9732426862530
10231088066560
118a00520979a
1238952b14000
1318a39c47330
14b282c3d9a8
156027878390
hex35cdec1000

231088066560 has 1664 divisors, whose sum is σ = 982857093120. Its totient is φ = 50960793600.

The previous prime is 231088066553. The next prime is 231088066567. The reversal of 231088066560 is 65660880132.

231088066560 is a `hidden beast` number, since 2 + 3 + 1 + 0 + 8 + 80 + 6 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (231088066553) and next prime (231088066567).

It is a tau number, because it is divible by the number of its divisors (1664).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (231088066567) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3788328930 + ... + 3788328990.

Almost surely, 2231088066560 is an apocalyptic number.

231088066560 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 231088066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491428546560).

231088066560 is an abundant number, since it is smaller than the sum of its proper divisors (751769026560).

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

231088066560 is a wasteful number, since it uses less digits than its factorization.

231088066560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 231088066560 in words is "two hundred thirty-one billion, eighty-eight million, sixty-six thousand, five hundred sixty".