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5106253824 = 2143371797
BaseRepresentation
bin1001100000101101…
…10100000000000000
3111011212022120102000
410300112310000000
540424200110244
62202404424000
7240352304250
oct46026640000
914155276360
105106253824
112190390091
12ba60a8000
13634b81a89
1436623d960
151ed444169
hex1305b4000

5106253824 has 480 divisors, whose sum is σ = 18496316160. Its totient is φ = 1358954496.

The previous prime is 5106253799. The next prime is 5106253837. The reversal of 5106253824 is 4283526015.

5106253824 is a `hidden beast` number, since 5 + 1 + 0 + 625 + 3 + 8 + 24 = 666.

It is a super-2 number, since 2×51062538242 = 52147656230229245952, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52641744 + ... + 52641840.

It is an arithmetic number, because the mean of its divisors is an integer number (38533992).

Almost surely, 25106253824 is an apocalyptic number.

5106253824 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 5106253824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9248158080).

5106253824 is an abundant number, since it is smaller than the sum of its proper divisors (13390062336).

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

5106253824 is an equidigital number, since it uses as much as digits as its factorization.

5106253824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5106253824 is about 71458.0563967423. The cubic root of 5106253824 is about 1722.0039092288.

Adding to 5106253824 its reverse (4283526015), we get a palindrome (9389779839).

The spelling of 5106253824 in words is "five billion, one hundred six million, two hundred fifty-three thousand, eight hundred twenty-four".