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235585969920 = 2832573378669
BaseRepresentation
bin1101101101101000000…
…1001001111100000000
3211112002101120021001100
43123122001021330000
512324440002014140
6300120544534400
723010016463310
oct3333201117400
9745071507040
10235585969920
1190a031580a4
12397a9321400
13192a5a68702
14b58c361440
1561dc6a0530
hex36da049f00

235585969920 has 432 divisors, whose sum is σ = 934418197440. Its totient is φ = 53682241536.

The previous prime is 235585969897. The next prime is 235585969933. The reversal of 235585969920 is 29969585532.

235585969920 is a `hidden beast` number, since 2 + 3 + 558 + 59 + 6 + 9 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27171346 + ... + 27180014.

Almost surely, 2235585969920 is an apocalyptic number.

235585969920 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 235585969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467209098720).

235585969920 is an abundant number, since it is smaller than the sum of its proper divisors (698832227520).

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

235585969920 is a wasteful number, since it uses less digits than its factorization.

235585969920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9040 (or 9023 counting only the distinct ones).

The product of its (nonzero) digits is 52488000, while the sum is 63.

The spelling of 235585969920 in words is "two hundred thirty-five billion, five hundred eighty-five million, nine hundred sixty-nine thousand, nine hundred twenty".