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195260000640 = 27354112719531
BaseRepresentation
bin1011010111011001100…
…1110010100110000000
3200200000000010202202120
42311312121302212000
511144343030010030
6225411243244240
720051503422615
oct2656631624600
9620000122676
10195260000640
117589a1a8561
1231a14219680
131554a2c4c23
14964478050c
15512c27a010
hex2d76672980

195260000640 has 256 divisors, whose sum is σ = 642624675840. Its totient is φ = 50396774400.

The previous prime is 195260000597. The next prime is 195260000671. The reversal of 195260000640 is 46000062591.

It is a super-3 number, since 3×1952600006403 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9987675 + ... + 10007205.

It is an arithmetic number, because the mean of its divisors is an integer number (2510252640).

Almost surely, 2195260000640 is an apocalyptic number.

195260000640 is a gapful number since it is divisible by the number (10) 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 195260000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321312337920).

195260000640 is an abundant number, since it is smaller than the sum of its proper divisors (447364675200).

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

195260000640 is a wasteful number, since it uses less digits than its factorization.

195260000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19721 (or 19709 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 195260000640 in words is "one hundred ninety-five billion, two hundred sixty million, six hundred forty", and thus it is an aban number.