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64365456348 = 22327959937783
BaseRepresentation
bin111011111100011110…
…101110101111011100
320011010201221222001200
4323330132232233130
52023310024100343
645322531035500
74436015231454
oct737436565734
9204121858050
1064365456348
112532a693026
1210583a3bb90
1360b9cb705b
143188578d64
151a1ab164d3
hexefc7aebdc

64365456348 has 72 divisors (see below), whose sum is σ = 165040512000. Its totient is φ = 21147643296.

The previous prime is 64365456341. The next prime is 64365456349. The reversal of 64365456348 is 84365456346.

64365456348 is a `hidden beast` number, since 6 + 4 + 36 + 5 + 4 + 563 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 64365456294 and 64365456303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64365456341) 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, 1684665 + ... + 1722447.

Almost surely, 264365456348 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 64365456348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82520256000).

64365456348 is an abundant number, since it is smaller than the sum of its proper divisors (100675055652).

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

64365456348 is a wasteful number, since it uses less digits than its factorization.

64365456348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38471 (or 38466 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 54.

The spelling of 64365456348 in words is "sixty-four billion, three hundred sixty-five million, four hundred fifty-six thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 599 711 948 1198 1422 1797 2396 2844 3594 5391 7188 10782 21564 37783 47321 75566 94642 113349 141963 151132 189284 226698 283926 340047 425889 453396 567852 680094 851778 1360188 1703556 2984857 5969714 8954571 11939428 17909142 22632017 26863713 35818284 45264034 53727426 67896051 90528068 107454852 135792102 203688153 271584204 407376306 814752612 1787929343 3575858686 5363788029 7151717372 10727576058 16091364087 21455152116 32182728174 64365456348