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55064360064312 = 23329710271767633
BaseRepresentation
bin11001000010100101010111…
…00111110001010100111000
321012222002201221002102010200
430201102223213301110320
524204133302134024222
6313040115013242200
714412161113616604
oct1441225347612470
9235862657072120
1055064360064312
11165aa733805545
126213a12933360
132495715633c21
14d851b4924504
1565753c77eeac
hex3214ab9f1538

55064360064312 has 96 divisors (see below), whose sum is σ = 150684957521280. Its totient is φ = 18163769794560.

The previous prime is 55064360064299. The next prime is 55064360064317. The reversal of 55064360064312 is 21346006346055.

55064360064312 is a `hidden beast` number, since 5 + 5 + 0 + 6 + 4 + 3 + 600 + 6 + 4 + 31 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55064360064317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71348848 + ... + 72116480.

It is an arithmetic number, because the mean of its divisors is an integer number (1569634974180).

Almost surely, 255064360064312 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 55064360064312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75342478760640).

55064360064312 is an abundant number, since it is smaller than the sum of its proper divisors (95620597456968).

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

55064360064312 is a wasteful number, since it uses less digits than its factorization.

55064360064312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778013 (or 778006 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 55064360064312 in words is "fifty-five trillion, sixty-four billion, three hundred sixty million, sixty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 582 776 873 1164 1746 2328 3492 6984 10271 20542 30813 41084 61626 82168 92439 123252 184878 246504 369756 739512 767633 996287 1535266 1992574 2302899 2988861 3070532 3985148 4605798 5977722 6141064 6908697 7970296 8966583 9211596 11955444 13817394 17933166 18423192 23910888 27634788 35866332 55269576 71732664 74460401 148920802 223381203 297841604 446762406 595683208 670143609 893524812 1340287218 1787049624 2680574436 5361148872 7884358543 15768717086 23653075629 31537434172 47306151258 63074868344 70959226887 94612302516 141918453774 189224605032 283836907548 567673815096 764782778671 1529565557342 2294348336013 3059131114684 4588696672026 6118262229368 6883045008039 9177393344052 13766090016078 18354786688104 27532180032156 55064360064312