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204155707392 = 21335731323
BaseRepresentation
bin1011111000100010100…
…0001110000000000000
3201111221221222111100000
42332020220032000000
511321102330114032
6233442101200000
720515111611000
oct2761050160000
9644857874300
10204155707392
117964463571a
1233697400000
131633728a530
149c49da8000
15549d204e7c
hex2f88a0e000

204155707392 has 1344 divisors, whose sum is σ = 801482572800. Its totient is φ = 51502252032.

The previous prime is 204155707381. The next prime is 204155707433. The reversal of 204155707392 is 293707551402.

It is a happy number.

204155707392 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 5 + 570 + 73 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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, 8876335093 + ... + 8876335115.

It is an arithmetic number, because the mean of its divisors is an integer number (596341200).

Almost surely, 2204155707392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204155707392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400741286400).

204155707392 is an abundant number, since it is smaller than the sum of its proper divisors (597326865408).

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

204155707392 is an frugal number, since it uses more digits than its factorization.

204155707392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 204155707392 in words is "two hundred four billion, one hundred fifty-five million, seven hundred seven thousand, three hundred ninety-two".