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55115826330944 = 2617299891689217
BaseRepresentation
bin11001000100000101001110…
…01111111111110101000000
321020011000120200221122110002
430202002213033333311000
524211004203020042234
6313115505554055132
714415662361642311
oct1442024717776500
9236130520848402
1055115826330944
111661a5441083a5
12622199687a4a8
13249a5280b4832
14d87897c96608
15658a50c0927e
hex3220a73ffd40

55115826330944 has 56 divisors (see below), whose sum is σ = 115807954916520. Its totient is φ = 25935979216896.

The previous prime is 55115826330913. The next prime is 55115826330967. The reversal of 55115826330944 is 44903362851155.

55115826330944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 14501717004544 + 40614109326400 = 3808112^2 + 6372920^2 .

It is a super-2 number, since 2×551158263309442 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 55115826330944.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31783424 + ... + 33472640.

Almost surely, 255115826330944 is an apocalyptic number.

It is an amenable number.

55115826330944 is an abundant number, since it is smaller than the sum of its proper divisors (60692128585576).

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

55115826330944 is a wasteful number, since it uses less digits than its factorization.

55115826330944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719235 (or 1719225 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 56.

The spelling of 55115826330944 in words is "fifty-five trillion, one hundred fifteen billion, eight hundred twenty-six million, three hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 29989 59978 119956 239912 479824 509813 959648 1019626 1689217 1919296 2039252 3378434 4078504 6756868 8157008 13513736 16314016 27027472 28716689 32628032 54054944 57433378 108109888 114866756 229733512 459467024 918934048 1837868096 50657928613 101315857226 202631714452 405263428904 810526857808 861184786421 1621053715616 1722369572842 3242107431232 3444739145684 6889478291368 13778956582736 27557913165472 55115826330944