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5173309440 = 2123251317127
BaseRepresentation
bin1001101000101101…
…00111000000000000
3111100112111100102100
410310112213000000
541043331400230
62213201550400
7242125255545
oct46426470000
914315440370
105173309440
11221521aa52
121004645400
13645a2c360
143710d6bcc
1520428c660
hex1345a7000

5173309440 has 624 divisors, whose sum is σ = 20608293888. Its totient is φ = 1189085184.

The previous prime is 5173309429. The next prime is 5173309441. The reversal of 5173309440 is 449033715.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-2 number, since 2×51733094402 = 53526261123986227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5173309395 and 5173309404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5173309441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40734657 + ... + 40734783.

It is an arithmetic number, because the mean of its divisors is an integer number (33026112).

Almost surely, 25173309440 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 5173309440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10304146944).

5173309440 is an abundant number, since it is smaller than the sum of its proper divisors (15434984448).

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

5173309440 is a wasteful number, since it uses less digits than its factorization.

5173309440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 5173309440 is about 71925.7216856390. The cubic root of 5173309440 is about 1729.5089699795.

The spelling of 5173309440 in words is "five billion, one hundred seventy-three million, three hundred nine thousand, four hundred forty".