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5012116704 = 253472193167
BaseRepresentation
bin1001010101011111…
…01101010011100000
3110221022011220120000
410222233231103200
540231100213304
62145203020000
7235130201100
oct45257552340
913838156500
105012116704
112142233511
12b7a66a600
1361b511a3a
14357937200
151e504b939
hex12abed4e0

5012116704 has 720 divisors, whose sum is σ = 18909918720. Its totient is φ = 1293304320.

The previous prime is 5012116699. The next prime is 5012116721. The reversal of 5012116704 is 4076112105.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 74807679 + ... + 74807745.

It is an arithmetic number, because the mean of its divisors is an integer number (26263776).

Almost surely, 25012116704 is an apocalyptic number.

5012116704 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5012116704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9454959360).

5012116704 is an abundant number, since it is smaller than the sum of its proper divisors (13897802016).

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

5012116704 is a wasteful number, since it uses less digits than its factorization.

5012116704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 5012116704 is about 70796.3043103240. The cubic root of 5012116704 is about 1711.3561172280.

Adding to 5012116704 its reverse (4076112105), we get a palindrome (9088228809).

The spelling of 5012116704 in words is "five billion, twelve million, one hundred sixteen thousand, seven hundred four".