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45263572564 = 22717315951991
BaseRepresentation
bin101010001001111010…
…110100111001010100
311022211111101201122111
4222021322310321110
51220144433310224
632443243240404
73161450006260
oct521172647124
9138744351574
1045263572564
111821811a011
128932819104
1343646c6542
14229567d0a0
15129db53d94
hexa89eb4e54

45263572564 has 96 divisors (see below), whose sum is σ = 100623237120. Its totient is φ = 17368819200.

The previous prime is 45263572559. The next prime is 45263572573. The reversal of 45263572564 is 46527536254.

45263572564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 844609 + ... + 896599.

It is an arithmetic number, because the mean of its divisors is an integer number (1048158720).

Almost surely, 245263572564 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 45263572564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50311618560).

45263572564 is an abundant number, since it is smaller than the sum of its proper divisors (55359664556).

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

45263572564 is a wasteful number, since it uses less digits than its factorization.

45263572564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52109 (or 52107 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 49.

The spelling of 45263572564 in words is "forty-five billion, two hundred sixty-three million, five hundred seventy-two thousand, five hundred sixty-four".

Divisors: 1 2 4 7 14 17 28 31 34 59 62 68 118 119 124 217 236 238 413 434 476 527 826 868 1003 1054 1652 1829 2006 2108 3658 3689 4012 7021 7316 7378 12803 14042 14756 25606 28084 31093 51212 51991 62186 103982 124372 207964 217651 363937 435302 727874 870604 883847 1455748 1611721 1767694 3067469 3223442 3535388 6134938 6186929 6446884 11282047 12269876 12373858 21472283 22564094 24747716 27399257 42944566 45128188 52146973 54798514 85889132 95091539 104293946 109597028 190183078 191794799 208587892 365028811 380366156 383589598 665640773 730057622 767179196 1331281546 1460115244 1616556163 2662563092 3233112326 6466224652 11315893141 22631786282 45263572564