Search a number
-
+
45520323552 = 25321114368789
BaseRepresentation
bin101010011001001110…
…010000001111100000
311100111101112000210100
4222121032100033200
51221211200323202
632524534302400
73201015236364
oct523116201740
9140441460710
1045520323552
111833a043910
1289a47b7a00
1343a59609c2
1422bb7d52a4
1512b646d41c
hexa993903e0

45520323552 has 72 divisors (see below), whose sum is σ = 141216468120. Its totient is φ = 13794036480.

The previous prime is 45520323529. The next prime is 45520323559. The reversal of 45520323552 is 25532302554.

45520323552 is a `hidden beast` number, since 4 + 55 + 20 + 32 + 3 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45520323559) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7181227 + ... + 7187562.

It is an arithmetic number, because the mean of its divisors is an integer number (1961339835).

Almost surely, 245520323552 is an apocalyptic number.

It is an amenable number.

45520323552 is an abundant number, since it is smaller than the sum of its proper divisors (95696144568).

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

45520323552 is a wasteful number, since it uses less digits than its factorization.

45520323552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14368816 (or 14368805 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 36.

The spelling of 45520323552 in words is "forty-five billion, five hundred twenty million, three hundred twenty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 14368789 28737578 43106367 57475156 86212734 114950312 129319101 158056679 172425468 229900624 258638202 316113358 344850936 459801248 474170037 517276404 632226716 689701872 948340074 1034552808 1264453432 1379403744 1422510111 1896680148 2069105616 2528906864 2845020222 3793360296 4138211232 5057813728 5690040444 7586720592 11380080888 15173441184 22760161776 45520323552