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5301397296 = 2433133137823
BaseRepresentation
bin1001110111111110…
…01110011100110000
3111200110111212221000
410323333032130300
541324124203141
62234015202000
7245242063536
oct47377163460
914613455830
105301397296
112280556288
12103b516300
136664286a0
1438411a156
1521063e5b6
hex13bfce730

5301397296 has 320 divisors, whose sum is σ = 17394442240. Its totient is φ = 1534049280.

The previous prime is 5301397291. The next prime is 5301397319. The reversal of 5301397296 is 6927931035.

5301397296 is a `hidden beast` number, since 530 + 1 + 3 + 97 + 29 + 6 = 666.

It is a super-2 number, since 2×53013972962 = 56209626580072223232, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5301397291) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6441141 + ... + 6441963.

It is an arithmetic number, because the mean of its divisors is an integer number (54357632).

Almost surely, 25301397296 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 5301397296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8697221120).

5301397296 is an abundant number, since it is smaller than the sum of its proper divisors (12093044944).

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

5301397296 is a wasteful number, since it uses less digits than its factorization.

5301397296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 5301397296 is about 72810.6949286985. The cubic root of 5301397296 is about 1743.6666081984. Note that the first 4 decimals are identical.

The spelling of 5301397296 in words is "five billion, three hundred one million, three hundred ninety-seven thousand, two hundred ninety-six".