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5301314784 = 25336135781
BaseRepresentation
bin1001110111111101…
…11010010011100000
3111200110100200202000
410323332322103200
541324114033114
62234013324000
7245241301143
oct47376722340
914613320660
105301314784
1122804aa297
12103b496600
136663c9c6c
143840d805a
15210624e09
hex13bfba4e0

5301314784 has 48 divisors (see below), whose sum is σ = 15462170640. Its totient is φ = 1767104640.

The previous prime is 5301314783. The next prime is 5301314807. The reversal of 5301314784 is 4874131035.

It is a happy number.

5301314784 is a `hidden beast` number, since 53 + 0 + 131 + 478 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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 not an unprimeable number, because it can be changed into a prime (5301314783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3067027 + ... + 3068754.

It is an arithmetic number, because the mean of its divisors is an integer number (322128555).

Almost surely, 25301314784 is an apocalyptic number.

5301314784 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5301314784 is an abundant number, since it is smaller than the sum of its proper divisors (10160855856).

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

5301314784 is a wasteful number, since it uses less digits than its factorization.

5301314784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6135800 (or 6135786 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5301314784 is about 72810.1283064382. The cubic root of 5301314784 is about 1743.6575618937.

The spelling of 5301314784 in words is "five billion, three hundred one million, three hundred fourteen thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 6135781 12271562 18407343 24543124 36814686 49086248 55222029 73629372 98172496 110444058 147258744 165666087 196344992 220888116 294517488 331332174 441776232 589034976 662664348 883552464 1325328696 1767104928 2650657392 5301314784