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1055424214656 = 27347413211
BaseRepresentation
bin11110101101111000010…
…11110111011010000000
310201220020022212020210000
433112330023313122000
5114243002044332111
62124504415440000
7136152252542460
oct17267413673200
93656208766700
101055424214656
1137766a4aa779
1215066b526000
13786aba36326
1439123303ba0
151c6c240ac56
hexf5bc2f7680

1055424214656 has 640 divisors, whose sum is σ = 3696806171520. Its totient is φ = 292800614400.

The previous prime is 1055424214589. The next prime is 1055424214703. The reversal of 1055424214656 is 6564124245501.

1055424214656 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 424 + 214 + 6 + 5 + 6 = 666.

It is a super-2 number, since 2×10554242146562 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5002010391 + ... + 5002010601.

It is an arithmetic number, because the mean of its divisors is an integer number (5776259643).

Almost surely, 21055424214656 is an apocalyptic number.

1055424214656 is a gapful number since it is divisible by the number (16) 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 1055424214656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848403085760).

1055424214656 is an abundant number, since it is smaller than the sum of its proper divisors (2641381956864).

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

1055424214656 is an frugal number, since it uses more digits than its factorization.

1055424214656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 1055424214656 in words is "one trillion, fifty-five billion, four hundred twenty-four million, two hundred fourteen thousand, six hundred fifty-six".