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55608391288900 = 225229160711932363
BaseRepresentation
bin11001010010011010101100…
…11010001100100001000100
321021220002222101211002102001
430221031112122030201010
524242041441132221100
6314134050422355044
714466400530002362
oct1451152632144104
9237802871732361
1055608391288900
111679a4281a174a
1262a134188ba84
132504b05a69138
14da3663876632
1566677dc3bd6a
hex32935668c844

55608391288900 has 72 divisors (see below), whose sum is σ = 124908940941120. Its totient is φ = 21462978176640.

The previous prime is 55608391288819. The next prime is 55608391288913. The reversal of 55608391288900 is 988219380655.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1305882 + ... + 10626481.

It is an arithmetic number, because the mean of its divisors is an integer number (1734846401960).

Almost surely, 255608391288900 is an apocalyptic number.

55608391288900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55608391288900 is an abundant number, since it is smaller than the sum of its proper divisors (69300549652220).

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

55608391288900 is a wasteful number, since it uses less digits than its factorization.

55608391288900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11934013 (or 11934006 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 64.

The spelling of 55608391288900 in words is "fifty-five trillion, six hundred eight billion, three hundred ninety-one million, two hundred eighty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 1607 2900 3214 6428 8035 16070 32140 40175 46603 80350 93206 160700 186412 233015 466030 932060 1165075 2330150 4660300 11932363 23864726 47729452 59661815 119323630 238647260 298309075 346038527 596618150 692077054 1193236300 1384154108 1730192635 3460385270 6920770540 8650963175 17301926350 19175307341 34603852700 38350614682 76701229364 95876536705 191753073410 383506146820 479382683525 556083912889 958765367050 1112167825778 1917530734100 2224335651556 2780419564445 5560839128890 11121678257780 13902097822225 27804195644450 55608391288900