Search a number
-
+
27264246272 = 29431123551
BaseRepresentation
bin11001011001000100…
…110110001000000000
32121101002111012202222
4121121010312020000
5421314121340042
620305223230212
71653430161314
oct313104661000
977332435688
1027264246272
1110620a5783a
12534a8a8368
132756670803
141468d89b44
15a988802d2
hex659136200

27264246272 has 40 divisors (see below), whose sum is σ = 54602076672. Its totient is φ = 13600384000.

The previous prime is 27264246259. The next prime is 27264246313.

27264246272 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 158897 + ... + 282447.

Almost surely, 227264246272 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 27264246272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27301038336).

27264246272 is an abundant number, since it is smaller than the sum of its proper divisors (27337830400).

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

27264246272 is an equidigital number, since it uses as much as digits as its factorization.

27264246272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124000 (or 123984 counting only the distinct ones).

The product of its digits is 903168, while the sum is 44.

The spelling of 27264246272 in words is "twenty-seven billion, two hundred sixty-four million, two hundred forty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 256 431 512 862 1724 3448 6896 13792 27584 55168 110336 123551 220672 247102 494204 988408 1976816 3953632 7907264 15814528 31629056 53250481 63258112 106500962 213001924 426003848 852007696 1704015392 3408030784 6816061568 13632123136 27264246272