Search a number
-
+
45260516064 = 2534133114073
BaseRepresentation
bin101010001001101111…
…001010101011100000
311022211021122102220210
4222021233022223200
51220143143003224
632443053534120
73161412016221
oct521157125340
9138737572823
1045260516064
1118216421685
1289317a4340
134363b9626a
1422950c5248
15129d74d429
hexa89bcaae0

45260516064 has 48 divisors (see below), whose sum is σ = 118838642832. Its totient is φ = 15083056128.

The previous prime is 45260516051. The next prime is 45260516087. The reversal of 45260516064 is 46061506254.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 339732 + ... + 453804.

It is an arithmetic number, because the mean of its divisors is an integer number (2475805059).

Almost surely, 245260516064 is an apocalyptic number.

It is an amenable number.

45260516064 is an abundant number, since it is smaller than the sum of its proper divisors (73578126768).

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

45260516064 is a wasteful number, since it uses less digits than its factorization.

45260516064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118219 (or 118211 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 45260516064 in words is "forty-five billion, two hundred sixty million, five hundred sixteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 4133 8266 12399 16532 24798 33064 49596 66128 99192 114073 132256 198384 228146 342219 396768 456292 684438 912584 1368876 1825168 2737752 3650336 5475504 10951008 471463709 942927418 1414391127 1885854836 2828782254 3771709672 5657564508 7543419344 11315129016 15086838688 22630258032 45260516064