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5142765816 = 23347936367
BaseRepresentation
bin1001100101000100…
…00110000011111000
3111021102000120110000
410302202012003320
541013022001231
62210151153000
7241304534226
oct46242060370
914242016400
105142765816
1121a9a59091
12bb6375760
1363c5c6ac6
1436b025b16
152017576e6
hex1328860f8

5142765816 has 40 divisors (see below), whose sum is σ = 14404507920. Its totient is φ = 1714255056.

The previous prime is 5142765811. The next prime is 5142765839. The reversal of 5142765816 is 6185672415.

5142765816 is a `hidden beast` number, since 514 + 2 + 76 + 58 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5142765811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3967536 + ... + 3968831.

It is an arithmetic number, because the mean of its divisors is an integer number (360112698).

Almost surely, 25142765816 is an apocalyptic number.

It is an amenable number.

5142765816 is an abundant number, since it is smaller than the sum of its proper divisors (9261742104).

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

5142765816 is a wasteful number, since it uses less digits than its factorization.

5142765816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7936385 (or 7936372 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 5142765816 is about 71713.0798111474. The cubic root of 5142765816 is about 1726.0985305208.

The spelling of 5142765816 in words is "five billion, one hundred forty-two million, seven hundred sixty-five thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 7936367 15872734 23809101 31745468 47618202 63490936 71427303 95236404 142854606 190472808 214281909 285709212 428563818 571418424 642845727 857127636 1285691454 1714255272 2571382908 5142765816