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56655332100 = 22325262950369
BaseRepresentation
bin110100110000111010…
…111100001100000100
312102020102000001221100
4310300322330030010
51412012231111400
642005504220100
74043654243223
oct646072741404
9172212001840
1056655332100
1122033504614
12ab9190a630
13545b838763
142a565aacba
151718cca100
hexd30ebc304

56655332100 has 54 divisors (see below), whose sum is σ = 177582993770. Its totient is φ = 15108088320.

The previous prime is 56655332099. The next prime is 56655332131. The reversal of 56655332100 is 123355665.

56655332100 is a `hidden beast` number, since 5 + 66 + 553 + 32 + 10 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 13477816836 + 43177515264 = 116094^2 + 207792^2 .

It is a super-2 number, since 2×566553321002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 31474285 + ... + 31476084.

Almost surely, 256655332100 is an apocalyptic number.

56655332100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56655332100 is an abundant number, since it is smaller than the sum of its proper divisors (120927661670).

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

56655332100 is a wasteful number, since it uses less digits than its factorization.

56655332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62950389 (or 62950379 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

Adding to 56655332100 its reverse (123355665), we get a palindrome (56778687765).

The spelling of 56655332100 in words is "fifty-six billion, six hundred fifty-five million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 62950369 125900738 188851107 251801476 314751845 377702214 566553321 629503690 755404428 944255535 1133106642 1259007380 1573759225 1888511070 2266213284 2832766605 3147518450 3777022140 4721277675 5665533210 6295036900 9442555350 11331066420 14163833025 18885110700 28327666050 56655332100