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5164347456 = 2634996209
BaseRepresentation
bin1001100111101000…
…11011000001000000
3111022220122000220000
410303310123001000
541034033104311
62212241520000
7241656141402
oct46364330100
914286560800
105164347456
112210159754
121001643000
13643c120c8
1436dc42b72
152035bc056
hex133d1b040

5164347456 has 70 divisors (see below), whose sum is σ = 15308759070. Its totient is φ = 1721447424.

The previous prime is 5164347449. The next prime is 5164347491. The reversal of 5164347456 is 6547434615.

5164347456 is a `hidden beast` number, since 5 + 164 + 34 + 7 + 456 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2994278400 + 2170069056 = 54720^2 + 46584^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 492921 + ... + 503288.

Almost surely, 25164347456 is an apocalyptic number.

It is an amenable number.

5164347456 is an abundant number, since it is smaller than the sum of its proper divisors (10144411614).

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

5164347456 is an equidigital number, since it uses as much as digits as its factorization.

5164347456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996233 (or 996214 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 5164347456 is about 71863.3944091149. The cubic root of 5164347456 is about 1728.5096876117.

It can be divided in two parts, 51643 and 47456, that added together give a palindrome (99099).

The spelling of 5164347456 in words is "five billion, one hundred sixty-four million, three hundred forty-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 996209 1992418 2988627 3984836 5977254 7969672 8965881 11954508 15939344 17931762 23909016 26897643 31878688 35863524 47818032 53795286 63757376 71727048 80692929 95636064 107590572 143454096 161385858 191272128 215181144 286908192 322771716 430362288 573816384 645543432 860724576 1291086864 1721449152 2582173728 5164347456