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55863630560 = 2552397331993
BaseRepresentation
bin110100000001101110…
…110101101011100000
312100012020021110121002
4310001232311223200
51403402042134220
641355143251132
74015232011403
oct640156655340
9170166243532
1055863630560
1121767621521
12a9b0749aa8
1353637ccaca
1429bd3a1d3a
1516be541c75
hexd01bb5ae0

55863630560 has 96 divisors (see below), whose sum is σ = 132777429120. Its totient is φ = 22210449408.

The previous prime is 55863630503. The next prime is 55863630593. The reversal of 55863630560 is 6503636855.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28028924 + ... + 28030916.

It is an arithmetic number, because the mean of its divisors is an integer number (1383098220).

Almost surely, 255863630560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55863630560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66388714560).

55863630560 is an abundant number, since it is smaller than the sum of its proper divisors (76913798560).

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

55863630560 is a wasteful number, since it uses less digits than its factorization.

55863630560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2980 (or 2972 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 47.

The spelling of 55863630560 in words is "fifty-five billion, eight hundred sixty-three million, six hundred thirty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 239 478 733 956 1195 1466 1912 1993 2390 2932 3665 3824 3986 4780 5864 7330 7648 7972 9560 9965 11728 14660 15944 19120 19930 23456 29320 31888 38240 39860 58640 63776 79720 117280 159440 175187 318880 350374 476327 700748 875935 952654 1401496 1460869 1751870 1905308 2381635 2802992 2921738 3503740 3810616 4763270 5605984 5843476 7007480 7304345 7621232 9526540 11686952 14014960 14608690 15242464 19053080 23373904 28029920 29217380 38106160 46747808 58434760 76212320 116869520 233739040 349147691 698295382 1396590764 1745738455 2793181528 3491476910 5586363056 6982953820 11172726112 13965907640 27931815280 55863630560