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5646465344 = 261317339229
BaseRepresentation
bin1010100001000111…
…00011100101000000
3112120111211011022002
411100203203211000
543030443342334
62332143203132
7256632110042
oct52043434500
915514734262
105646465344
112438311a93
121116ba64a8
136bca75a70
143b7ca1a92
15230aa1b7e
hex1508e3940

5646465344 has 56 divisors (see below), whose sum is σ = 12136663560. Its totient is φ = 2590930944.

The previous prime is 5646465343. The next prime is 5646465373. The reversal of 5646465344 is 4435646465.

It can be written as a sum of positive squares in 4 ways, for example, as 2933305600 + 2713159744 = 54160^2 + 52088^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5646465343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124322 + ... + 163550.

It is an arithmetic number, because the mean of its divisors is an integer number (216726135).

Almost surely, 25646465344 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 5646465344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6068331780).

5646465344 is an abundant number, since it is smaller than the sum of its proper divisors (6490198216).

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

5646465344 is a wasteful number, since it uses less digits than its factorization.

5646465344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39427 (or 39417 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 47.

The square root of 5646465344 is about 75142.9660314257. The cubic root of 5646465344 is about 1780.7060011353.

The spelling of 5646465344 in words is "five billion, six hundred forty-six million, four hundred sixty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 173 208 346 416 692 832 1384 2249 2768 4498 5536 8996 11072 17992 35984 39229 71968 78458 143936 156916 313832 509977 627664 1019954 1255328 2039908 2510656 4079816 6786617 8159632 13573234 16319264 27146468 32638528 54292936 88226021 108585872 176452042 217171744 352904084 434343488 705808168 1411616336 2823232672 5646465344