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56363535360 = 210325111731211
BaseRepresentation
bin110100011111100001…
…110100110000000000
312101111001221021001200
4310133201310300000
51410413031112420
641520522101200
74033512100656
oct643741646000
9171431837050
1056363535360
11219a3823390
12ab1004a800
135413250772
142a29930dd6
1516ed38bb90
hexd1f874c00

56363535360 has 1056 divisors, whose sum is σ = 233965615104. Its totient is φ = 12386304000.

The previous prime is 56363535311. The next prime is 56363535401. The reversal of 56363535360 is 6353536365.

It is a happy number.

56363535360 is a `hidden beast` number, since 5 + 6 + 3 + 63 + 53 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 267125655 + ... + 267125865.

Almost surely, 256363535360 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 56363535360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116982807552).

56363535360 is an abundant number, since it is smaller than the sum of its proper divisors (177602079744).

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

56363535360 is a wasteful number, since it uses less digits than its factorization.

56363535360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 2187000, while the sum is 45.

The spelling of 56363535360 in words is "fifty-six billion, three hundred sixty-three million, five hundred thirty-five thousand, three hundred sixty".