Search a number
-
+
5373415008 = 2532133167691
BaseRepresentation
bin1010000000100011…
…11100111001100000
3111212111000202122200
411000101330321200
542001043240013
62245110533200
7250105162653
oct50021747140
914774022580
105373415008
112308175255
12105b667200
13678322710
1438d90589a
15216b17e73
hex14047ce60

5373415008 has 288 divisors, whose sum is σ = 17265411072. Its totient is φ = 1573862400.

The previous prime is 5373414989. The next prime is 5373415027. The reversal of 5373415008 is 8005143735.

It is an interprime number because it is at equal distance from previous prime (5373414989) and next prime (5373415027).

It is a tau number, because it is divible by the number of its divisors (288).

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

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 47 ways as a sum of consecutive naturals, for example, 7775943 + ... + 7776633.

It is an arithmetic number, because the mean of its divisors is an integer number (59949344).

Almost surely, 25373415008 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 5373415008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8632705536).

5373415008 is an abundant number, since it is smaller than the sum of its proper divisors (11891996064).

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

5373415008 is a wasteful number, since it uses less digits than its factorization.

5373415008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5373415008 is about 73303.5811403508. The cubic root of 5373415008 is about 1751.5268316259.

The spelling of 5373415008 in words is "five billion, three hundred seventy-three million, four hundred fifteen thousand, eight".