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668055365145 = 325771149919927
BaseRepresentation
bin10011011100010110011…
…00111110011000011001
32100212100221000210211200
421232023030332120121
541421134133141040
61230522252544413
766160014624210
oct11561314763031
92325327023750
10668055365145
11238358923723
12a9582482109
134acc7243c3c
14244968d4077
151259e8a5630
hex9b8b33e619

668055365145 has 96 divisors (see below), whose sum is σ = 1342987776000. Its totient is φ = 300879411840.

The previous prime is 668055365111. The next prime is 668055365147. The reversal of 668055365145 is 541563550866.

668055365145 is a `hidden beast` number, since 6 + 6 + 80 + 553 + 6 + 5 + 1 + 4 + 5 = 666.

It is not a de Polignac number, because 668055365145 - 210 = 668055364121 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 668055365091 and 668055365100.

It is not an unprimeable number, because it can be changed into a prime (668055365147) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33515172 + ... + 33535098.

It is an arithmetic number, because the mean of its divisors is an integer number (13989456000).

Almost surely, 2668055365145 is an apocalyptic number.

It is an amenable number.

668055365145 is an abundant number, since it is smaller than the sum of its proper divisors (674932410855).

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

668055365145 is a wasteful number, since it uses less digits than its factorization.

668055365145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21515 (or 21512 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 668055365145 in words is "six hundred sixty-eight billion, fifty-five million, three hundred sixty-five thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 71 105 213 315 355 497 639 1065 1491 1499 2485 3195 4473 4497 7455 7495 10493 13491 19927 22365 22485 31479 52465 59781 67455 94437 99635 106429 139489 157395 179343 298905 319287 418467 472185 532145 697445 745003 896715 957861 1255401 1414817 1596435 2092335 2235009 3725015 4244451 4789305 6277005 6705027 7074085 9903719 11175045 12733353 21222255 29711157 29870573 33525135 49518595 63666765 89133471 89611719 148555785 149352865 209094011 268835157 445667355 448058595 627282033 1045470055 1344175785 1881846099 2120810683 3136410165 6362432049 9409230495 10604053415 14845674781 19087296147 31812160245 44537024343 74228373905 95436480735 133611073029 222685121715 668055365145