Search a number
-
+
28638186912 = 2532261737997
BaseRepresentation
bin11010101010111110…
…000000110110100000
32201220211210122000100
4122222332000312200
5432122333440122
621053423422400
72032452400206
oct325276006640
981824718010
1028638186912
1111166567775
125672a54a00
1329151c6b3a
141559637076
15b292c8aac
hex6aaf80da0

28638186912 has 72 divisors (see below), whose sum is σ = 81473107716. Its totient is φ = 9542163456.

The previous prime is 28638186881. The next prime is 28638186989. The reversal of 28638186912 is 21968183682.

It can be written as a sum of positive squares in 2 ways, for example, as 19253227536 + 9384959376 = 138756^2 + 96876^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 734698 + ... + 772694.

Almost surely, 228638186912 is an apocalyptic number.

It is an amenable number.

28638186912 is an abundant number, since it is smaller than the sum of its proper divisors (52834920804).

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

28638186912 is a wasteful number, since it uses less digits than its factorization.

28638186912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40630 (or 40619 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The spelling of 28638186912 in words is "twenty-eight billion, six hundred thirty-eight million, one hundred eighty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2617 5234 7851 10468 15702 20936 23553 31404 37997 41872 47106 62808 75994 83744 94212 113991 125616 151988 188424 227982 251232 303976 341973 376848 455964 607952 683946 753696 911928 1215904 1367892 1823856 2735784 3647712 5471568 10943136 99438149 198876298 298314447 397752596 596628894 795505192 894943341 1193257788 1591010384 1789886682 2386515576 3182020768 3579773364 4773031152 7159546728 9546062304 14319093456 28638186912