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655115216256 = 2735192348197
BaseRepresentation
bin10011000100001111110…
…10001110010110000000
32022121222002212010200000
421202013322032112000
541213133443410011
61220542240400000
765221236313464
oct11420772162600
92277862763600
10655115216256
112329185082a6
12a6b70916000
1349a143994c7
14239ca0a84a4
1512093827356
hex9887e8e580

655115216256 has 384 divisors, whose sum is σ = 2147394412800. Its totient is φ = 197879666688.

The previous prime is 655115216243. The next prime is 655115216293. The reversal of 655115216256 is 652612511556.

It is a happy number.

655115216256 is a `hidden beast` number, since 6 + 5 + 5 + 1 + 15 + 2 + 1 + 625 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13568350 + ... + 13616546.

It is an arithmetic number, because the mean of its divisors is an integer number (5592172950).

Almost surely, 2655115216256 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 655115216256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073697206400).

655115216256 is an abundant number, since it is smaller than the sum of its proper divisors (1492279196544).

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

655115216256 is a wasteful number, since it uses less digits than its factorization.

655115216256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48268 (or 48244 counting only the distinct ones).

The product of its digits is 540000, while the sum is 45.

The spelling of 655115216256 in words is "six hundred fifty-five billion, one hundred fifteen million, two hundred sixteen thousand, two hundred fifty-six".