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55555605056 = 2671740118191
BaseRepresentation
bin110011101111010111…
…110100001001000000
312022101202200011001002
4303233113310021000
51402234213330211
641304421231132
74004501565020
oct635727641100
9168352604032
1055555605056
1121619766396
12a9255624a8
135314a520b3
1429904dda80
1516a249a03b
hexcef5f4240

55555605056 has 112 divisors (see below), whose sum is σ = 133743508992. Its totient is φ = 22351872000.

The previous prime is 55555605041. The next prime is 55555605059. The reversal of 55555605056 is 65050655555.

55555605056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 55555605056.

It is not an unprimeable number, because it can be changed into a prime (55555605059) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3044921 + ... + 3063111.

Almost surely, 255555605056 is an apocalyptic number.

55555605056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55555605056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66871754496).

55555605056 is an abundant number, since it is smaller than the sum of its proper divisors (78187903936).

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

55555605056 is a wasteful number, since it uses less digits than its factorization.

55555605056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18628 (or 18618 counting only the distinct ones).

The product of its (nonzero) digits is 2812500, while the sum is 47.

The spelling of 55555605056 in words is "fifty-five billion, five hundred fifty-five million, six hundred five thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 401 448 476 544 802 952 1088 1604 1904 2807 3208 3808 5614 6416 6817 7616 11228 12832 13634 18191 22456 25664 27268 36382 44912 47719 54536 72764 89824 95438 109072 127337 145528 179648 190876 218144 254674 291056 309247 381752 436288 509348 582112 618494 763504 1018696 1164224 1236988 1527008 2037392 2164729 2473976 3054016 4074784 4329458 4947952 7294591 8149568 8658916 9895904 14589182 17317832 19791808 29178364 34635664 51062137 58356728 69271328 102124274 116713456 124008047 138542656 204248548 233426912 248016094 408497096 466853824 496032188 816994192 868056329 992064376 1633988384 1736112658 1984128752 3267976768 3472225316 3968257504 6944450632 7936515008 13888901264 27777802528 55555605056