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5151644145 = 34533293821
BaseRepresentation
bin1001100110000111…
…11101100111110001
3111022000201122020000
410303003331213301
541022310103040
62211105340213
7241443152454
oct46303754761
914260648200
105151644145
112203a7254a
12bb9337669
136413b4c5b
1436c29749b
1520240d130
hex1330fd9f1

5151644145 has 40 divisors (see below), whose sum is σ = 9239990760. Its totient is φ = 2745999360.

The previous prime is 5151644143. The next prime is 5151644153. The reversal of 5151644145 is 5414461515.

5151644145 is a `hidden beast` number, since 5 + 1 + 5 + 1 + 644 + 1 + 4 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1169024481 + 3982619664 = 34191^2 + 63108^2 .

It is not a de Polignac number, because 5151644145 - 21 = 5151644143 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5151644143) 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 39 ways as a sum of consecutive naturals, for example, 1346335 + ... + 1350155.

It is an arithmetic number, because the mean of its divisors is an integer number (230999769).

Almost surely, 25151644145 is an apocalyptic number.

It is an amenable number.

5151644145 is a deficient number, since it is larger than the sum of its proper divisors (4088346615).

5151644145 is a wasteful number, since it uses less digits than its factorization.

5151644145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7167 (or 7158 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 5151644145 is about 71774.9548589200. The cubic root of 5151644145 is about 1727.0912557602.

The spelling of 5151644145 in words is "five billion, one hundred fifty-one million, six hundred forty-four thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 3329 3821 9987 11463 16645 19105 29961 34389 49935 57315 89883 103167 149805 171945 269649 309501 449415 515835 1348245 1547505 12720109 38160327 63600545 114480981 190801635 343442943 572404905 1030328829 1717214715 5151644145