Search a number
-
+
56301230336 = 2813117114447
BaseRepresentation
bin110100011011110100…
…001001100100000000
312101022201200211122012
4310123310021210000
51410301103332321
641510414432052
74032124363451
oct643364114400
9171281624565
1056301230336
112197163872a
12aab3202628
1354033775a0
142a21553128
1516e7b8105b
hexd1bd09900

56301230336 has 72 divisors (see below), whose sum is σ = 121139082624. Its totient is φ = 25961195520.

The previous prime is 56301230333. The next prime is 56301230339. The reversal of 56301230336 is 63303210365.

It is an interprime number because it is at equal distance from previous prime (56301230333) and next prime (56301230339).

It is a super-3 number, since 3×563012303363 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (56301230333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3889865 + ... + 3904311.

Almost surely, 256301230336 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 56301230336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60569541312).

56301230336 is an abundant number, since it is smaller than the sum of its proper divisors (64837852288).

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

56301230336 is a wasteful number, since it uses less digits than its factorization.

56301230336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15647 (or 15633 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 32.

The spelling of 56301230336 in words is "fifty-six billion, three hundred one million, two hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1171 1664 2342 3328 4684 9368 14447 15223 18736 28894 30446 37472 57788 60892 74944 115576 121784 149888 187811 231152 243568 299776 375622 462304 487136 751244 924608 974272 1502488 1849216 1948544 3004976 3698432 3897088 6009952 12019904 16917437 24039808 33834874 48079616 67669748 135339496 219926681 270678992 439853362 541357984 879706724 1082715968 1759413448 2165431936 3518826896 4330863872 7037653792 14075307584 28150615168 56301230336