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5119762648 = 23721121319223
BaseRepresentation
bin1001100010010100…
…10110000011011000
3111012210201220000211
410301022112003120
540441124401043
62204010140504
7240605156500
oct46112260330
914183656024
105119762648
112197a77500
12baa721734
13637901770
14367d58a00
151ee711a9d
hex1312960d8

5119762648 has 432 divisors, whose sum is σ = 14557339440. Its totient is φ = 1668522240.

The previous prime is 5119762603. The next prime is 5119762649. The reversal of 5119762648 is 8462679115.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5119762649) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 222598365 + ... + 222598387.

It is an arithmetic number, because the mean of its divisors is an integer number (33697545).

Almost surely, 25119762648 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 5119762648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7278669720).

5119762648 is an abundant number, since it is smaller than the sum of its proper divisors (9437576792).

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

5119762648 is a wasteful number, since it uses less digits than its factorization.

5119762648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 75 counting only the distinct ones).

The product of its digits is 725760, while the sum is 49.

The square root of 5119762648 is about 71552.5167132506. The cubic root of 5119762648 is about 1723.5211183128.

It can be divided in two parts, 5119 and 762648, that added together give a palindrome (767767).

The spelling of 5119762648 in words is "five billion, one hundred nineteen million, seven hundred sixty-two thousand, six hundred forty-eight".