Search a number
-
+
27168269584 = 248924632
BaseRepresentation
bin11001010011010110…
…101110010100010000
32121010101220002111211
4121103112232110100
5421120034111314
620251514145504
71651153324021
oct312326562420
977111802454
1027168269584
1110581864065
125322722294
13273c808381
14145a324c48
15a902229c4
hex6535ae510

27168269584 has 45 divisors (see below), whose sum is σ = 53351842053. Its totient is φ = 13402494336.

The previous prime is 27168269573. The next prime is 27168269591. The reversal of 27168269584 is 48596286172.

The square root of 27168269584 is 164828.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5216883984 + 21951385600 = 72228^2 + 148160^2 .

It is a super-2 number, since 2×271682695842 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 58678537 + ... + 58678999.

Almost surely, 227168269584 is an apocalyptic number.

27168269584 is the 164828-th square number.

It is an amenable number.

27168269584 is a deficient number, since it is larger than the sum of its proper divisors (26183572469).

27168269584 is an frugal number, since it uses more digits than its factorization.

27168269584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 554 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 58.

The spelling of 27168269584 in words is "twenty-seven billion, one hundred sixty-eight million, two hundred sixty-nine thousand, five hundred eighty-four".

Divisors: 1 2 4 8 16 89 178 356 463 712 926 1424 1852 3704 7408 7921 15842 31684 41207 63368 82414 126736 164828 214369 329656 428738 659312 857476 1714952 3429904 3667423 7334846 14669692 19078841 29339384 38157682 58678768 76315364 152630728 305261456 1698016849 3396033698 6792067396 13584134792 27168269584