Search a number
-
+
45920454752 = 253126912161
BaseRepresentation
bin101010110001000100…
…101000100001100000
311101112021102210121102
4222301010220201200
51223021114023002
633032350413532
73213644265554
oct526104504140
9141467383542
1045920454752
1118524999357
128a968012a8
13443a819c23
1423189d1864
1512db65aa02
hexab1128860

45920454752 has 72 divisors (see below), whose sum is σ = 93594770136. Its totient is φ = 22177152000.

The previous prime is 45920454743. The next prime is 45920454763. The reversal of 45920454752 is 25745402954.

It is a junction number, because it is equal to n+sod(n) for n = 45920454697 and 45920454706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21248552 + ... + 21250712.

It is an arithmetic number, because the mean of its divisors is an integer number (1299927363).

Almost surely, 245920454752 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 45920454752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46797385068).

45920454752 is an abundant number, since it is smaller than the sum of its proper divisors (47674315384).

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

45920454752 is a wasteful number, since it uses less digits than its factorization.

45920454752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2924 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 47.

The spelling of 45920454752 in words is "forty-five billion, nine hundred twenty million, four hundred fifty-four thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 691 961 992 1382 1922 2161 2764 3844 4322 5528 7688 8644 11056 15376 17288 21421 22112 30752 34576 42842 66991 69152 85684 133982 171368 267964 342736 535928 664051 685472 1071856 1328102 1493251 2076721 2143712 2656204 2986502 4153442 5312408 5973004 8306884 10624816 11946008 16613768 21249632 23892016 33227536 46290781 47784032 66455072 92581562 185163124 370326248 740652496 1435014211 1481304992 2870028422 5740056844 11480113688 22960227376 45920454752