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195252806983680 = 2133851395227
BaseRepresentation
bin101100011001010011010110…
…001100111010000000000000
3221121022222121211110100000000
4230121103112030322000000
5201043010222041434210
61531133522400000000
756061356401415115
oct5431232614720000
9847288554410000
10195252806983680
1157239283348466
1219a95376000000
1384c435098a6b4
1436304017b090c
151788e90d00ac0
hexb194d633a000

195252806983680 has 1008 divisors, whose sum is σ = 708023264326560. Its totient is φ = 51682939895808.

The previous prime is 195252806983679. The next prime is 195252806983711. The reversal of 195252806983680 is 86389608252591.

195252806983680 is a `hidden beast` number, since 1 + 9 + 5 + 2 + 528 + 0 + 6 + 98 + 3 + 6 + 8 + 0 = 666.

195252806983680 is digitally balanced in base 3, 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 (72).

It is a junction number, because it is equal to n+sod(n) for n = 195252806983599 and 195252806983608.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37354657227 + ... + 37354662453.

It is an arithmetic number, because the mean of its divisors is an integer number (702404032070).

Almost surely, 2195252806983680 is an apocalyptic number.

195252806983680 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 195252806983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354011632163280).

195252806983680 is an abundant number, since it is smaller than the sum of its proper divisors (512770457342880).

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

195252806983680 is an frugal number, since it uses more digits than its factorization.

195252806983680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5421 (or 5376 counting only the distinct ones).

The product of its (nonzero) digits is 447897600, while the sum is 72.

The spelling of 195252806983680 in words is "one hundred ninety-five trillion, two hundred fifty-two billion, eight hundred six million, nine hundred eighty-three thousand, six hundred eighty".