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5201191296 = 273272329967
BaseRepresentation
bin1001101100000001…
…11110000110000000
3111102110221220010200
410312000332012000
541123001110141
62220035325200
7242614253010
oct46600760600
914373856120
105201191296
112229a34004
121011a50800
1364b7421b2
14374ab3c40
15206948ab6
hex13603e180

5201191296 has 384 divisors, whose sum is σ = 18483379200. Its totient is φ = 1371009024.

The previous prime is 5201191283. The next prime is 5201191297. The reversal of 5201191296 is 6921911025.

5201191296 is a `hidden beast` number, since 520 + 1 + 1 + 9 + 129 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5201191296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5201191297) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5378205 + ... + 5379171.

It is an arithmetic number, because the mean of its divisors is an integer number (48133800).

Almost surely, 25201191296 is an apocalyptic number.

5201191296 is a gapful number since it is divisible by the number (56) 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 5201191296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9241689600).

5201191296 is an abundant number, since it is smaller than the sum of its proper divisors (13282187904).

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

5201191296 is a wasteful number, since it uses less digits than its factorization.

5201191296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 5201191296 is about 72119.2851878053. The cubic root of 5201191296 is about 1732.6105015006.

The spelling of 5201191296 in words is "five billion, two hundred one million, one hundred ninety-one thousand, two hundred ninety-six".