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204057165240 = 2332537139307359
BaseRepresentation
bin1011111000001011000…
…0010011110110111000
3201111201002120000220200
42332002300103312320
511320402113241430
6233424221122200
720512504200045
oct2760260236670
9644632500820
10204057165240
11795a3a4a525
123366a3b9360
131631ca37476
149c3ac761cc
15549473c460
hex2f82c13db8

204057165240 has 384 divisors, whose sum is σ = 690161472000. Its totient is φ = 52246508544.

The previous prime is 204057165227. The next prime is 204057165259. The reversal of 204057165240 is 42561750402.

It is a happy number.

204057165240 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 571 + 65 + 24 + 0 = 666.

204057165240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 204057165195 and 204057165204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 568404181 + ... + 568404539.

It is an arithmetic number, because the mean of its divisors is an integer number (1797295500).

Almost surely, 2204057165240 is an apocalyptic number.

204057165240 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 204057165240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345080736000).

204057165240 is an abundant number, since it is smaller than the sum of its proper divisors (486104306760).

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

204057165240 is a wasteful number, since it uses less digits than its factorization.

204057165240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 204057165240 in words is "two hundred four billion, fifty-seven million, one hundred sixty-five thousand, two hundred forty".