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5340379648 = 2957718077
BaseRepresentation
bin1001111100100111…
…11011101000000000
3111210011212101122211
410332103323220000
541414114122043
62241530511504
7246224322652
oct47623735000
914704771584
105340379648
1122a05612aa
121050595594
13671526c76
143893866d2
15213c8ea9d
hex13e4fba00

5340379648 has 40 divisors (see below), whose sum is σ = 10689412932. Its totient is φ = 2665414656.

The previous prime is 5340379633. The next prime is 5340379651. The reversal of 5340379648 is 8469730435.

It can be written as a sum of positive squares in 2 ways, for example, as 3323291904 + 2017087744 = 57648^2 + 44912^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 286386 + ... + 304462.

Almost surely, 25340379648 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 5340379648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5344706466).

5340379648 is an abundant number, since it is smaller than the sum of its proper divisors (5349033284).

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

5340379648 is an equidigital number, since it uses as much as digits as its factorization.

5340379648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18672 (or 18656 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 49.

The square root of 5340379648 is about 73077.9012287572. The cubic root of 5340379648 is about 1747.9300312188.

The spelling of 5340379648 in words is "five billion, three hundred forty million, three hundred seventy-nine thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 577 1154 2308 4616 9232 18077 18464 36154 36928 72308 73856 144616 147712 289232 295424 578464 1156928 2313856 4627712 9255424 10430429 20860858 41721716 83443432 166886864 333773728 667547456 1335094912 2670189824 5340379648