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5676027136 = 28133135449
BaseRepresentation
bin1010100100101000…
…10100110100000000
3112122120110001110021
411102110110310000
543111030332021
62335120543224
7260441302033
oct52224246400
915576401407
105676027136
112452a7321a
121124a81b14
136c5c26450
143bbb9901a
15233490c41
hex152514d00

5676027136 has 72 divisors (see below), whose sum is σ = 12242640200. Its totient is φ = 2610855936.

The previous prime is 5676027121. The next prime is 5676027151. The reversal of 5676027136 is 6317206765.

It is an interprime number because it is at equal distance from previous prime (5676027121) and next prime (5676027151).

It can be written as a sum of positive squares in 4 ways, for example, as 798401536 + 4877625600 = 28256^2 + 69840^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5676027092 and 5676027101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1038940 + ... + 1044388.

Almost surely, 25676027136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5676027136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6121320100).

5676027136 is an abundant number, since it is smaller than the sum of its proper divisors (6566613064).

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

5676027136 is a wasteful number, since it uses less digits than its factorization.

5676027136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5791 (or 5777 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 43.

The square root of 5676027136 is about 75339.4128992256. The cubic root of 5676027136 is about 1783.8081932310.

The spelling of 5676027136 in words is "five billion, six hundred seventy-six million, twenty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 313 416 626 832 1252 1664 2504 3328 4069 5008 5449 8138 10016 10898 16276 20032 21796 32552 40064 43592 65104 70837 80128 87184 130208 141674 174368 260416 283348 348736 520832 566696 697472 1041664 1133392 1394944 1705537 2266784 3411074 4533568 6822148 9067136 13644296 18134272 22171981 27288592 44343962 54577184 88687924 109154368 177375848 218308736 354751696 436617472 709503392 1419006784 2838013568 5676027136