Search a number
-
+
11180389272 = 23313261713693
BaseRepresentation
bin10100110100110011…
…10011001110011000
31001212011212121210120
422122121303032120
5140344134424042
65045230313240
7544026512043
oct123231631630
931764777716
1011180389272
114818046a38
122200358820
131092406770
14780c29c5a
15456822dec
hex29a673398

11180389272 has 64 divisors (see below), whose sum is σ = 30114749280. Its totient is φ = 3438554112.

The previous prime is 11180389249. The next prime is 11180389291. The reversal of 11180389272 is 27298308111.

11180389272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111803892722 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 809658 + ... + 823350.

Almost surely, 211180389272 is an apocalyptic number.

11180389272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11180389272 is an abundant number, since it is smaller than the sum of its proper divisors (18934360008).

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

11180389272 is a wasteful number, since it uses less digits than its factorization.

11180389272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16332 (or 16328 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The spelling of 11180389272 in words is "eleven billion, one hundred eighty million, three hundred eighty-nine thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 2617 5234 7851 10468 13693 15702 20936 27386 31404 34021 41079 54772 62808 68042 82158 102063 109544 136084 164316 178009 204126 272168 328632 356018 408252 534027 712036 816504 1068054 1424072 2136108 4272216 35834581 71669162 107503743 143338324 215007486 286676648 430014972 465849553 860029944 931699106 1397548659 1863398212 2795097318 3726796424 5590194636 11180389272