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5156296704 = 2113513797
BaseRepresentation
bin1001100110101011…
…01101100000000000
3111022100111000100000
410303111231200000
541030002443304
62211353200000
7241530540666
oct46325554000
914270430300
105156296704
112206660039
12bbaa00000
13642353850
1436cb48c36
15202a2b939
hex13356d800

5156296704 has 288 divisors, whose sum is σ = 16652759760. Its totient is φ = 1584562176.

The previous prime is 5156296697. The next prime is 5156296709. The reversal of 5156296704 is 4076926515.

5156296704 is a `hidden beast` number, since 5 + 15 + 629 + 6 + 7 + 0 + 4 = 666.

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

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 5156296704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5156296709) 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 23 ways as a sum of consecutive naturals, for example, 6469234 + ... + 6470030.

Almost surely, 25156296704 is an apocalyptic number.

5156296704 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 5156296704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8326379880).

5156296704 is an abundant number, since it is smaller than the sum of its proper divisors (11496463056).

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

5156296704 is an equidigital number, since it uses as much as digits as its factorization.

5156296704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 5156296704 is about 71807.3582859027. The cubic root of 5156296704 is about 1727.6110235583.

The spelling of 5156296704 in words is "five billion, one hundred fifty-six million, two hundred ninety-six thousand, seven hundred four".