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8242716820 = 2251331702757
BaseRepresentation
bin1111010110100110…
…11110000010010100
3210021110010101210011
413223103132002110
5113340113414240
63441530010004
7411155636242
oct75323360224
923243111704
108242716820
11354a887168
121720576904
13a14905740
14582a09792
153339916ea
hex1eb4de094

8242716820 has 24 divisors (see below), whose sum is σ = 18641221704. Its totient is φ = 3043464576.

The previous prime is 8242716799. The next prime is 8242716863. The reversal of 8242716820 is 286172428.

It can be written as a sum of positive squares in 4 ways, for example, as 1511498884 + 6731217936 = 38878^2 + 82044^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15851119 + ... + 15851638.

It is an arithmetic number, because the mean of its divisors is an integer number (776717571).

Almost surely, 28242716820 is an apocalyptic number.

It is an amenable number.

8242716820 is an abundant number, since it is smaller than the sum of its proper divisors (10398504884).

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

8242716820 is a wasteful number, since it uses less digits than its factorization.

8242716820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31702779 (or 31702777 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 8242716820 is about 90789.4091841113. The cubic root of 8242716820 is about 2020.0252276038.

The spelling of 8242716820 in words is "eight billion, two hundred forty-two million, seven hundred sixteen thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 31702757 63405514 126811028 158513785 317027570 412135841 634055140 824271682 1648543364 2060679205 4121358410 8242716820