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5630401296 = 2432134372
BaseRepresentation
bin1010011111001100…
…10001101100010000
3112112101121000120100
411033212101230100
543012340320141
62330411012400
7256345423062
oct51746215420
915471530510
105630401296
11242a23a913
12111173a100
136b9640000
143b5abd732
1522e47c0b6
hex14f991b10

5630401296 has 225 divisors, whose sum is σ = 17544196761. Its totient is φ = 1685608704.

The previous prime is 5630401291. The next prime is 5630401297. The reversal of 5630401296 is 6921040365.

It is a happy number.

The square root of 5630401296 is 75036.

It is a perfect power (a square), and thus also a powerful number.

5630401296 is a `hidden beast` number, since 5 + 630 + 4 + 0 + 12 + 9 + 6 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 4523907600 + 1106493696 = 67260^2 + 33264^2 .

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 5630401296.

It is not an unprimeable number, because it can be changed into a prime (5630401291) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 152172990 + ... + 152173026.

Almost surely, 25630401296 is an apocalyptic number.

5630401296 is the 75036-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5630401296

5630401296 is an abundant number, since it is smaller than the sum of its proper divisors (11913795465).

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

5630401296 is an equidigital number, since it uses as much as digits as its factorization.

5630401296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The cubic root of 5630401296 is about 1779.0157096552.

Multiplying 5630401296 by its sum of digits (36), we get a square (202694446656 = 4502162).

5630401296 divided by its sum of digits (36) gives a square (156400036 = 125062).

The spelling of 5630401296 in words is "five billion, six hundred thirty million, four hundred one thousand, two hundred ninety-six".