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5102364960 = 253457115113
BaseRepresentation
bin1001100000001111…
…11110100100100000
3111011120222222220000
410300013332210200
540422201134320
62202145220000
7240304246410
oct46007764440
914146888800
105102364960
112189174350
12ba4931600
1363411c984
1436590a640
151ece26c90
hex1301fe920

5102364960 has 480 divisors, whose sum is σ = 22454796672. Its totient is φ = 1060024320.

The previous prime is 5102364941. The next prime is 5102364977. The reversal of 5102364960 is 694632015.

It is a happy number.

5102364960 is a `hidden beast` number, since 5 + 1 + 0 + 2 + 3 + 649 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 995364 + ... + 1000476.

Almost surely, 25102364960 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 5102364960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11227398336).

5102364960 is an abundant number, since it is smaller than the sum of its proper divisors (17352431712).

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

5102364960 is a wasteful number, since it uses less digits than its factorization.

5102364960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5158 (or 5141 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 5102364960 is about 71430.8403982482. The cubic root of 5102364960 is about 1721.5666454350.

Adding to 5102364960 its reverse (694632015), we get a palindrome (5796996975).

The spelling of 5102364960 in words is "five billion, one hundred two million, three hundred sixty-four thousand, nine hundred sixty".