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55668659832 = 23331914612927
BaseRepresentation
bin110011110110000111…
…000101011001111000
312022200122101221001000
4303312013011121320
51403002134103312
641323540325000
74010343541542
oct636607053170
9168618357030
1055668659832
1121677564095
12a9573a3760
1353322b6a06
1429a152c692
1516ac37cadc
hexcf61c5678

55668659832 has 128 divisors (see below), whose sum is σ = 155835187200. Its totient is φ = 18412732800.

The previous prime is 55668659819. The next prime is 55668659861. The reversal of 55668659832 is 23895686655.

55668659832 is a `hidden beast` number, since 5 + 5 + 6 + 6 + 8 + 6 + 598 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 55668659832.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 19017553 + ... + 19020479.

It is an arithmetic number, because the mean of its divisors is an integer number (1217462400).

Almost surely, 255668659832 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 55668659832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77917593600).

55668659832 is an abundant number, since it is smaller than the sum of its proper divisors (100166527368).

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

55668659832 is a wasteful number, since it uses less digits than its factorization.

55668659832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3594 (or 3584 counting only the distinct ones).

The product of its digits is 93312000, while the sum is 63.

The spelling of 55668659832 in words is "fifty-five billion, six hundred sixty-eight million, six hundred fifty-nine thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 191 216 382 461 573 764 922 1146 1383 1528 1719 1844 2292 2766 2927 3438 3688 4149 4584 5157 5532 5854 6876 8298 8781 10314 11064 11708 12447 13752 16596 17562 20628 23416 24894 26343 33192 35124 41256 49788 52686 70248 79029 88051 99576 105372 158058 176102 210744 264153 316116 352204 528306 559057 632232 704408 792459 1056612 1118114 1349347 1584918 1677171 2113224 2236228 2377377 2698694 3169836 3354342 4048041 4472456 4754754 5031513 5397388 6339672 6708684 8096082 9509508 10063026 10794776 12144123 13417368 15094539 16192164 19019016 20126052 24288246 30189078 32384328 36432369 40252104 48576492 60378156 72864738 97152984 120756312 145729476 257725277 291458952 515450554 773175831 1030901108 1546351662 2061802216 2319527493 3092703324 4639054986 6185406648 6958582479 9278109972 13917164958 18556219944 27834329916 55668659832