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56556548820 = 22325417663489
BaseRepresentation
bin110100101011000010…
…000111001011010100
312101222112010100202100
4310223002013023110
51411311434030240
641552015042100
74041344506302
oct645302071324
9171875110670
1056556548820
1121a92774242
12ab64810330
13544422ca05
142a47415272
1517102b5e30
hexd2b0872d4

56556548820 has 72 divisors (see below), whose sum is σ = 175739152680. Its totient is φ = 14713896960.

The previous prime is 56556548803. The next prime is 56556548827. The reversal of 56556548820 is 2884565565.

It is a happy number.

56556548820 is a `hidden beast` number, since 5 + 6 + 556 + 5 + 4 + 8 + 82 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 903964356 + 55652584464 = 30066^2 + 235908^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56556548827) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3824365 + ... + 3839124.

It is an arithmetic number, because the mean of its divisors is an integer number (2440821565).

Almost surely, 256556548820 is an apocalyptic number.

It is an amenable number.

56556548820 is an abundant number, since it is smaller than the sum of its proper divisors (119182603860).

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

56556548820 is a wasteful number, since it uses less digits than its factorization.

56556548820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7663545 (or 7663540 counting only the distinct ones).

The product of its (nonzero) digits is 11520000, while the sum is 54.

The spelling of 56556548820 in words is "fifty-six billion, five hundred fifty-six million, five hundred forty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 7663489 15326978 22990467 30653956 38317445 45980934 68971401 76634890 91961868 114952335 137942802 153269780 229904670 275885604 314203049 344857005 459809340 628406098 689714010 942609147 1256812196 1379428020 1571015245 1885218294 2827827441 3142030490 3770436588 4713045735 5655654882 6284060980 9426091470 11311309764 14139137205 18852182940 28278274410 56556548820