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5142687867 = 331731734951
BaseRepresentation
bin1001100101000011…
…10011000001111011
3111021101212121112000
410302201303001323
541013012002432
62210145352043
7241304061042
oct46241630173
914241777460
105142687867
1121a9a05569
12bb6338623
1363c59a495
1436b005559
1520173e57c
hex13287307b

5142687867 has 64 divisors (see below), whose sum is σ = 8442961920. Its totient is φ = 3079296000.

The previous prime is 5142687863. The next prime is 5142687923. The reversal of 5142687867 is 7687862415.

5142687867 is a `hidden beast` number, since 514 + 2 + 68 + 7 + 8 + 67 = 666.

It is not a de Polignac number, because 5142687867 - 22 = 5142687863 is a prime.

It is a super-3 number, since 3×51426878673 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (5142687863) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1036242 + ... + 1041192.

It is an arithmetic number, because the mean of its divisors is an integer number (131921280).

Almost surely, 25142687867 is an apocalyptic number.

5142687867 is a deficient number, since it is larger than the sum of its proper divisors (3300274053).

5142687867 is a wasteful number, since it uses less digits than its factorization.

5142687867 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5081 (or 5075 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The square root of 5142687867 is about 71712.5363308257. The cubic root of 5142687867 is about 1726.0898096406.

The spelling of 5142687867 in words is "five billion, one hundred forty-two million, six hundred eighty-seven thousand, eight hundred sixty-seven".

Divisors: 1 3 9 17 27 31 51 73 93 153 219 279 459 527 657 837 1241 1581 1971 2263 3723 4743 4951 6789 11169 14229 14853 20367 33507 38471 44559 61101 84167 115413 133677 153481 252501 346239 361423 460443 757503 1038717 1084269 1381329 2272509 2609177 3252807 4143987 6144191 7827531 9758421 11204113 18432573 23482593 33612339 55297719 70447779 100837017 165893157 190469921 302511051 571409763 1714229289 5142687867