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201652125696 = 2143473443
BaseRepresentation
bin1011101111001101100…
…1110100000000000000
3201021111111001100220000
42323303121310000000
511300440421010241
6232345424520000
720366061534000
oct2736331640000
9637444040800
10201652125696
117857a40573a
12330b8a80000
13160286a5a48
149a8d6a4000
1553a351ceb6
hex2ef3674000

201652125696 has 600 divisors, whose sum is σ = 704149723200. Its totient is φ = 57484836864.

The previous prime is 201652125683. The next prime is 201652125713. The reversal of 201652125696 is 696521256102.

201652125696 is a `hidden beast` number, since 2 + 0 + 1 + 65 + 21 + 2 + 569 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 455196451 + ... + 455196893.

It is an arithmetic number, because the mean of its divisors is an integer number (1173582872).

Almost surely, 2201652125696 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 201652125696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352074861600).

201652125696 is an abundant number, since it is smaller than the sum of its proper divisors (502497597504).

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

201652125696 is an frugal number, since it uses more digits than its factorization.

201652125696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 201652125696 in words is "two hundred one billion, six hundred fifty-two million, one hundred twenty-five thousand, six hundred ninety-six".