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195230924148960 = 25335797211315437
BaseRepresentation
bin101100011000111110111101…
…111000100001000011100000
3221121020220010210001011002000
4230120332331320201003200
5201042130413040231320
61531115503130524000
756056653204403140
oct5430767570410340
9847226123034060
10195230924148960
115722aa74027897
1219a91089596600
1384c22741ac29b
14362d32740c920
15178860eb17c90
hexb18fbde210e0

195230924148960 has 768 divisors, whose sum is σ = 792716184852480. Its totient is φ = 43954719621120.

The previous prime is 195230924148929. The next prime is 195230924148977. The reversal of 195230924148960 is 69841429032591.

195230924148960 is a `hidden beast` number, since 1 + 9 + 5 + 2 + 3 + 0 + 92 + 4 + 1 + 489 + 60 = 666.

It is a super-2 number, since 2×1952309241489602 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 618764362 + ... + 619079798.

It is an arithmetic number, because the mean of its divisors is an integer number (1032182532360).

Almost surely, 2195230924148960 is an apocalyptic number.

195230924148960 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 195230924148960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396358092426240).

195230924148960 is an abundant number, since it is smaller than the sum of its proper divisors (597485260703520).

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

195230924148960 is a wasteful number, since it uses less digits than its factorization.

195230924148960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315776 (or 315762 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 195230924148960 in words is "one hundred ninety-five trillion, two hundred thirty billion, nine hundred twenty-four million, one hundred forty-eight thousand, nine hundred sixty".