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56335022500 = 22544721012
BaseRepresentation
bin110100011101110101…
…000011100110100100
312101102002021122202211
4310131311003212210
51410333231210000
641514023013204
74033014535051
oct643565034644
9171362248684
1056335022500
1121989719239
12ab0259a204
13540a379653
142a25c2c028
1516eab087ba
hexd1dd439a4

56335022500 has 135 divisors (see below), whose sum is σ = 127128912757. Its totient is φ = 21836200000.

The previous prime is 56335022483. The next prime is 56335022531. The reversal of 56335022500 is 522053365.

The square root of 56335022500 is 237350.

It is a perfect power (a square), and thus also a powerful number.

56335022500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 12157708644 + 44177313856 = 110262^2 + 210184^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 557772450 + ... + 557772550.

Almost surely, 256335022500 is an apocalyptic number.

56335022500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56335022500 is the 237350-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56335022500

56335022500 is an abundant number, since it is smaller than the sum of its proper divisors (70793890257).

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

56335022500 is an equidigital number, since it uses as much as digits as its factorization.

56335022500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 31.

Adding to 56335022500 its reverse (522053365), we get a palindrome (56857075865).

The spelling of 56335022500 in words is "fifty-six billion, three hundred thirty-five million, twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 101 125 188 202 235 250 404 470 500 505 625 940 1010 1175 1250 2020 2209 2350 2500 2525 4418 4700 4747 5050 5875 8836 9494 10100 10201 11045 11750 12625 18988 20402 22090 23500 23735 25250 29375 40804 44180 47470 50500 51005 55225 58750 63125 94940 102010 110450 117500 118675 126250 204020 220900 223109 237350 252500 255025 276125 446218 474700 479447 510050 552250 593375 892436 958894 1020100 1104500 1115545 1186750 1275125 1380625 1917788 2231090 2373500 2397235 2550250 2761250 2966875 4462180 4794470 5100500 5522500 5577725 5933750 6375625 9588940 11155450 11867500 11986175 12751250 22310900 22534009 23972350 25502500 27888625 45068018 47944700 55777250 59930875 90136036 111554500 112670045 119861750 139443125 225340090 239723500 278886250 299654375 450680180 557772500 563350225 599308750 1126700450 1198617500 2253400900 2816751125 5633502250 11267004500 14083755625 28167511250 56335022500