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195151686912 = 28337213127349
BaseRepresentation
bin1011010110111111110…
…0100110110100000000
3200122201110022212021000
42311233330212310000
511144132312440122
6225352413532000
720046016653300
oct2655774466400
9618643285230
10195151686912
1175844048886
12319a3aa4000
1315530a30270
149634227600
1551229d20ac
hex2d6ff26d00

195151686912 has 864 divisors, whose sum is σ = 730738176000. Its totient is φ = 50916999168.

The previous prime is 195151686911. The next prime is 195151686931. The reversal of 195151686912 is 219686151591.

It is a happy number.

195151686912 is a `hidden beast` number, since 1 + 9 + 51 + 516 + 8 + 69 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195151686911) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 559173714 + ... + 559174062.

Almost surely, 2195151686912 is an apocalyptic number.

195151686912 is a gapful number since it is divisible by the number (12) 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 195151686912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365369088000).

195151686912 is an abundant number, since it is smaller than the sum of its proper divisors (535586489088).

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

195151686912 is a wasteful number, since it uses less digits than its factorization.

195151686912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 501 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 54.

The spelling of 195151686912 in words is "one hundred ninety-five billion, one hundred fifty-one million, six hundred eighty-six thousand, nine hundred twelve".