Search a number
-
+
56145854028 = 223112922764613
BaseRepresentation
bin110100010010100011…
…011011111001001100
312100220220022220102010
4310102203123321030
51404441314312103
641443144301220
74025226612345
oct642243337114
9170826286363
1056145854028
11218a1964160
12aa6b171810
1353aa115544
142a08a690cc
1516d91dd903
hexd128dbe4c

56145854028 has 96 divisors (see below), whose sum is σ = 148498479360. Its totient is φ = 16354589440.

The previous prime is 56145854021. The next prime is 56145854081. The reversal of 56145854028 is 82045854165.

56145854028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (56145854021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 836650 + ... + 901262.

It is an arithmetic number, because the mean of its divisors is an integer number (1546859160).

Almost surely, 256145854028 is an apocalyptic number.

56145854028 is a gapful number since it is divisible by the number (58) 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 56145854028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74249239680).

56145854028 is an abundant number, since it is smaller than the sum of its proper divisors (92352625332).

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

56145854028 is a wasteful number, since it uses less digits than its factorization.

56145854028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64887 (or 64885 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 48.

The spelling of 56145854028 in words is "fifty-six billion, one hundred forty-five million, eight hundred fifty-four thousand, twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 227 319 348 454 638 681 908 957 1276 1362 1914 2497 2724 3828 4994 6583 7491 9988 13166 14982 19749 26332 29964 39498 64613 72413 78996 129226 144826 193839 217239 258452 289652 387678 434478 710743 775356 868956 1421486 1873777 2132229 2842972 3747554 4264458 5621331 7495108 8528916 11242662 14667151 20611547 22485324 29334302 41223094 44001453 58668604 61834641 82446188 88002906 123669282 161338661 176005812 247338564 322677322 425347379 484015983 645354644 850694758 968031966 1276042137 1701389516 1936063932 2552084274 4678821169 5104168548 9357642338 14036463507 18715284676 28072927014 56145854028