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5134531664 = 242966116741
BaseRepresentation
bin1001100100000101…
…01011110001010000
3111020211112020022102
410302002223301100
541003420003124
62205254455532
7241144541033
oct46202536120
914224466272
105134531664
1121a53446a9
12bb36645a8
1363a9a2c22
14369cc101a
15200b7caae
hex1320abc50

5134531664 has 40 divisors (see below), whose sum is σ = 10307379720. Its totient is φ = 2474841600.

The previous prime is 5134531657. The next prime is 5134531673. The reversal of 5134531664 is 4661354315.

It can be written as a sum of positive squares in 4 ways, for example, as 3036891664 + 2097640000 = 55108^2 + 45800^2 .

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 298334 + ... + 315074.

It is an arithmetic number, because the mean of its divisors is an integer number (257684493).

Almost surely, 25134531664 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 5134531664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5153689860).

5134531664 is an abundant number, since it is smaller than the sum of its proper divisors (5172848056).

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

5134531664 is a wasteful number, since it uses less digits than its factorization.

5134531664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17439 (or 17433 counting only the distinct ones).

The product of its digits is 129600, while the sum is 38.

The square root of 5134531664 is about 71655.6464209207. The cubic root of 5134531664 is about 1725.1768118419.

Adding to 5134531664 its reverse (4661354315), we get a palindrome (9795885979).

The spelling of 5134531664 in words is "five billion, one hundred thirty-four million, five hundred thirty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 29 58 116 232 464 661 1322 2644 5288 10576 16741 19169 33482 38338 66964 76676 133928 153352 267856 306704 485489 970978 1941956 3883912 7767824 11065801 22131602 44263204 88526408 177052816 320908229 641816458 1283632916 2567265832 5134531664