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5064144669 = 3223971791409
BaseRepresentation
bin1001011011101100…
…01011011100011101
3111001221002012111200
410231312023130131
540332410112134
62154302110113
7236331343113
oct45566133435
914057065450
105064144669
112169639931
12b93b7b339
1362922a20c
143607dbab3
151e98c7499
hex12dd8b71d

5064144669 has 48 divisors (see below), whose sum is σ = 7760188800. Its totient is φ = 3175907328.

The previous prime is 5064144611. The next prime is 5064144713. The reversal of 5064144669 is 9664414605.

It is a happy number.

5064144669 is a `hidden beast` number, since 506 + 41 + 4 + 46 + 69 = 666.

It is not a de Polignac number, because 5064144669 - 28 = 5064144413 is a prime.

It is a super-2 number, since 2×50641446692 = 51291122457122239122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5064144769) 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 47 ways as a sum of consecutive naturals, for example, 3593437 + ... + 3594845.

It is an arithmetic number, because the mean of its divisors is an integer number (161670600).

Almost surely, 25064144669 is an apocalyptic number.

It is an amenable number.

5064144669 is a deficient number, since it is larger than the sum of its proper divisors (2696044131).

5064144669 is a wasteful number, since it uses less digits than its factorization.

5064144669 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 5064144669 is about 71162.8039708948. The cubic root of 5064144669 is about 1717.2572870091.

The spelling of 5064144669 in words is "five billion, sixty-four million, one hundred forty-four thousand, six hundred sixty-nine".

Divisors: 1 3 9 23 69 97 179 207 291 537 873 1409 1611 2231 4117 4227 6693 12351 12681 17363 20079 32407 37053 52089 97221 136673 156267 252211 291663 399349 410019 756633 1198047 1230057 2269899 3143479 3594141 5800853 9430437 17402559 24464467 28291311 52207677 73393401 220180203 562682741 1688048223 5064144669