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55561011584 = 2713411137207
BaseRepresentation
bin110011101111101100…
…011100000110000000
312022102010211211101212
4303233230130012000
51402242104332314
641305133145252
74004565543341
oct635754340600
9168363754355
1055561011584
11216218193a1
12a92732b228
135315bc5c20
14299110a0c8
1516a2bb6e3e
hexcefb1c180

55561011584 has 128 divisors (see below), whose sum is σ = 123207497280. Its totient is φ = 24793251840.

The previous prime is 55561011551. The next prime is 55561011587. The reversal of 55561011584 is 48511016555.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55561011587) by changing a digit.

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, 7705709 + ... + 7712915.

Almost surely, 255561011584 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 55561011584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61603748640).

55561011584 is an abundant number, since it is smaller than the sum of its proper divisors (67646485696).

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

55561011584 is a wasteful number, since it uses less digits than its factorization.

55561011584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7388 (or 7376 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 41.

The spelling of 55561011584 in words is "fifty-five billion, five hundred sixty-one million, eleven thousand, five hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 104 113 128 164 208 226 328 416 452 533 656 832 904 1066 1312 1469 1664 1808 2132 2624 2938 3616 4264 4633 5248 5876 7207 7232 8528 9266 11752 14414 14464 17056 18532 23504 28828 34112 37064 47008 57656 60229 68224 74128 93691 94016 115312 120458 148256 187382 188032 230624 240916 295487 296512 374764 461248 481832 590974 593024 749528 814391 922496 963664 1181948 1499056 1628782 1927328 2363896 2998112 3257564 3841331 3854656 4727792 5996224 6515128 7682662 7709312 9455584 10587083 11992448 13030256 15365324 18911168 21174166 26060512 30730648 33390031 37822336 42348332 52121024 61461296 66780062 84696664 104242048 122922592 133560124 169393328 245845184 267120248 338786656 434070403 491690368 534240496 677573312 868140806 1068480992 1355146624 1736281612 2136961984 3472563224 4273923968 6945126448 13890252896 27780505792 55561011584