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55356633588 = 223172312599371
BaseRepresentation
bin110011100011100000…
…110011000111110100
312021212220021100111110
4303203200303013310
51401332244233323
641232552435020
73666534423204
oct634340630764
9167786240443
1055356633588
1121527416163
12a88a9a8a70
1352b2767cb9
142971d08404
15168ec95793
hexce38331f4

55356633588 has 96 divisors (see below), whose sum is σ = 142838277120. Its totient is φ = 16596743680.

The previous prime is 55356633529. The next prime is 55356633643. The reversal of 55356633588 is 88533665355.

55356633588 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×553566335883 (a number of 33 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5902543 + ... + 5911913.

It is an arithmetic number, because the mean of its divisors is an integer number (1487898720).

Almost surely, 255356633588 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 55356633588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71419138560).

55356633588 is an abundant number, since it is smaller than the sum of its proper divisors (87481643532).

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

55356633588 is a wasteful number, since it uses less digits than its factorization.

55356633588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10677 (or 10675 counting only the distinct ones).

The product of its digits is 38880000, while the sum is 57.

The spelling of 55356633588 in words is "fifty-five billion, three hundred fifty-six million, six hundred thirty-three thousand, five hundred eighty-eight".

Divisors: 1 2 3 4 6 12 17 23 34 46 51 68 69 92 102 138 204 276 391 782 1173 1259 1564 2346 2518 3777 4692 5036 7554 9371 15108 18742 21403 28113 28957 37484 42806 56226 57914 64209 85612 86871 112452 115828 128418 159307 173742 215533 256836 318614 347484 431066 477921 492269 637228 646599 862132 955842 984538 1293198 1476807 1911684 1969076 2586396 2953614 3664061 5907228 7328122 10992183 11798089 14656244 21984366 23596178 35394267 43968732 47192356 70788534 141577068 200567513 271356047 401135026 542712094 601702539 802270052 814068141 1085424188 1203405078 1628136282 2406810156 3256272564 4613052799 9226105598 13839158397 18452211196 27678316794 55356633588