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55445632119360 = 263257215710692341
BaseRepresentation
bin11001001101101011100010…
…01101001111001001000000
321021022112212102201121100200
430212311301031033021000
524231410123310304420
6313531212144445200
714451546310615200
oct1446656115171100
9237275772647320
1055445632119360
11167373a695968a
12627589a019800
1324c2667c99b22
14d9982372a400
15662404e2cb90
hex326d7134f240

55445632119360 has 1008 divisors, whose sum is σ = 223563517809840. Its totient is φ = 12575411896320.

The previous prime is 55445632119329. The next prime is 55445632119389. The reversal of 55445632119360 is 6391123654455.

55445632119360 is a `hidden beast` number, since 5 + 5 + 4 + 4 + 5 + 63 + 211 + 9 + 360 = 666.

55445632119360 is digitally balanced in base 5, 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 8 ways, for example, as 746827812864 + 54698804306496 = 864192^2 + 7395864^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×554456321193602 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 55445632119297 and 55445632119306.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23684591790 + ... + 23684594130.

Almost surely, 255445632119360 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 55445632119360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111781758904920).

55445632119360 is an abundant number, since it is smaller than the sum of its proper divisors (168117885690480).

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

55445632119360 is a wasteful number, since it uses less digits than its factorization.

55445632119360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3604 (or 3584 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 55445632119360 in words is "fifty-five trillion, four hundred forty-five billion, six hundred thirty-two million, one hundred nineteen thousand, three hundred sixty".