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235395072000 = 21435531143
BaseRepresentation
bin1101101100111010100…
…0111100000000000000
3211111121002100122100000
43123032220330000000
512324042114301000
6300050005200000
723002211045514
oct3331650740000
9744532318300
10235395072000
1190915421720
1239755400000
131927534a36a
14b570c6c144
1561caa43000
hex36cea3c000

235395072000 has 1440 divisors, whose sum is σ = 982418621184. Its totient is φ = 55738368000.

The previous prime is 235395071887. The next prime is 235395072013. The reversal of 235395072000 is 270593532.

235395072000 is a `hidden beast` number, since 2 + 3 + 539 + 50 + 72 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5474303979 + ... + 5474304021.

Almost surely, 2235395072000 is an apocalyptic number.

235395072000 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 235395072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491209310592).

235395072000 is an abundant number, since it is smaller than the sum of its proper divisors (747023549184).

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

235395072000 is an frugal number, since it uses more digits than its factorization.

235395072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The spelling of 235395072000 in words is "two hundred thirty-five billion, three hundred ninety-five million, seventy-two thousand".