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5144782986 = 233744930313
BaseRepresentation
bin1001100101010011…
…10010100010001010
3111021112211001111000
410302221302202022
541014031023421
62210302315430
7241330635210
oct46251624212
914245731430
105144782986
112200106672
12bb6b88b76
1363cb51cb5
1436b3cccb0
15201a05226
hex132a7288a

5144782986 has 64 divisors (see below), whose sum is σ = 13095648000. Its totient is φ = 1466615808.

The previous prime is 5144782963. The next prime is 5144782987. The reversal of 5144782986 is 6892874415.

It is a happy number.

5144782986 is a `hidden beast` number, since 514 + 47 + 8 + 2 + 9 + 86 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5144782987) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154566 + ... + 184878.

It is an arithmetic number, because the mean of its divisors is an integer number (204619500).

Almost surely, 25144782986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5144782986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6547824000).

5144782986 is an abundant number, since it is smaller than the sum of its proper divisors (7950865014).

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

5144782986 is a wasteful number, since it uses less digits than its factorization.

5144782986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30780 (or 30774 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 5144782986 is about 71727.1426030621. The cubic root of 5144782986 is about 1726.3241794657.

The spelling of 5144782986 in words is "five billion, one hundred forty-four million, seven hundred eighty-two thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 449 898 1347 2694 3143 4041 6286 8082 9429 12123 18858 24246 28287 30313 56574 60626 84861 90939 169722 181878 212191 272817 424382 545634 636573 818451 1273146 1636902 1909719 3819438 5729157 11458314 13610537 27221074 40831611 81663222 95273759 122494833 190547518 244989666 285821277 367484499 571642554 734968998 857463831 1714927662 2572391493 5144782986