Search a number
-
+
56583145300 = 225211243108751
BaseRepresentation
bin110100101100100111…
…100100011101010100
312102001101011121021011
4310230213210131110
51411340241122200
641554405102004
74042116541123
oct645447443524
9172041147234
1056583145300
1121aa678a600
12ab716b7904
1354498b2786
142a4ab79aba
1517127bb5ba
hexd2c9e4754

56583145300 has 108 divisors (see below), whose sum is σ = 138102424768. Its totient is φ = 20097000000.

The previous prime is 56583145291. The next prime is 56583145331. The reversal of 56583145300 is 354138565.

56583145300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 465925 + ... + 574675.

Almost surely, 256583145300 is an apocalyptic number.

56583145300 is a gapful number since it is divisible by the number (50) 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 56583145300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69051212384).

56583145300 is an abundant number, since it is smaller than the sum of its proper divisors (81519279468).

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

56583145300 is a wasteful number, since it uses less digits than its factorization.

56583145300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108830 (or 108812 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 40.

The spelling of 56583145300 in words is "fifty-six billion, five hundred eighty-three million, one hundred forty-five thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 43 44 50 55 86 100 110 121 172 215 220 242 275 430 473 484 550 605 860 946 1075 1100 1210 1892 2150 2365 2420 3025 4300 4730 5203 6050 9460 10406 11825 12100 20812 23650 26015 47300 52030 104060 108751 130075 217502 260150 435004 520300 543755 1087510 1196261 2175020 2392522 2718775 4676293 4785044 5437550 5981305 9352586 10875100 11962610 13158871 18705172 23381465 23925220 26317742 29906525 46762930 51439223 52635484 59813050 65794355 93525860 102878446 116907325 119626100 131588710 205756892 233814650 257196115 263177420 328971775 467629300 514392230 565831453 657943550 1028784460 1131662906 1285980575 1315887100 2263325812 2571961150 2829157265 5143922300 5658314530 11316629060 14145786325 28291572650 56583145300