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56356342116 = 223172149109063
BaseRepresentation
bin110100011111000110…
…011000100101100100
312101110120101210210020
4310133012120211210
51410404210421431
641520103555140
74033364001264
oct643706304544
9171416353706
1056356342116
112199a75aa58
12ab0975bab0
1354119025c9
142a289bb7a4
1516ec91a696
hexd1f198964

56356342116 has 72 divisors (see below), whose sum is σ = 140627121600. Its totient is φ = 17561599488.

The previous prime is 56356342109. The next prime is 56356342117. The reversal of 56356342116 is 61124365365.

It is a super-3 number, since 3×563563421163 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (56356342117) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 462201 + ... + 571263.

Almost surely, 256356342116 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 56356342116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70313560800).

56356342116 is an abundant number, since it is smaller than the sum of its proper divisors (84270779484).

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

56356342116 is a wasteful number, since it uses less digits than its factorization.

56356342116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109253 (or 109234 counting only the distinct ones).

The product of its digits is 388800, while the sum is 42.

The spelling of 56356342116 in words is "fifty-six billion, three hundred fifty-six million, three hundred forty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 149 204 289 298 447 578 596 867 894 1156 1734 1788 2533 3468 5066 7599 10132 15198 30396 43061 86122 109063 129183 172244 218126 258366 327189 436252 516732 654378 1308756 1854071 3708142 5562213 7416284 11124426 16250387 22248852 31519207 32500774 48751161 63038414 65001548 94557621 97502322 126076828 189115242 195004644 276256579 378230484 552513158 828769737 1105026316 1657539474 3315078948 4696361843 9392723686 14089085529 18785447372 28178171058 56356342116