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230695128000 = 2634531991789
BaseRepresentation
bin1101011011011010000…
…0000100101111000000
3211001110112120202020000
43112312200010233000
512234430423044000
6253551353120000
722444561143051
oct3266640045700
9731415522200
10230695128000
1189923427187
12388633b9000
13189a6708bcc
14b246996728
15600310c000
hex35b6804bc0

230695128000 has 560 divisors, whose sum is σ = 858216216000. Its totient is φ = 61175347200.

The previous prime is 230695127987. The next prime is 230695128007. The reversal of 230695128000 is 821596032.

230695128000 is a `hidden beast` number, since 2 + 3 + 0 + 69 + 512 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230695128007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 128951106 + ... + 128952894.

Almost surely, 2230695128000 is an apocalyptic number.

230695128000 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 230695128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429108108000).

230695128000 is an abundant number, since it is smaller than the sum of its proper divisors (627521088000).

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

230695128000 is a wasteful number, since it uses less digits than its factorization.

230695128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2027 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 230695128000 in words is "two hundred thirty billion, six hundred ninety-five million, one hundred twenty-eight thousand".