Search a number
-
+
11139782700 = 2235259961991
BaseRepresentation
bin10100101111111101…
…11001100000101100
31001202100110121001110
422113332321200230
5140303241021300
65041220112020
7543024406404
oct122776714054
931670417043
1011139782700
1147a7131692
1221aa835610
131086b89ac7
14779699804
15452ea1550
hex297fb982c

11139782700 has 72 divisors (see below), whose sum is σ = 32285433600. Its totient is φ = 2965601600.

The previous prime is 11139782683. The next prime is 11139782701. The reversal of 11139782700 is 728793111.

It is not an unprimeable number, because it can be changed into a prime (11139782701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148705 + ... + 210695.

It is an arithmetic number, because the mean of its divisors is an integer number (448408800).

Almost surely, 211139782700 is an apocalyptic number.

11139782700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11139782700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16142716800).

11139782700 is an abundant number, since it is smaller than the sum of its proper divisors (21145650900).

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

11139782700 is a wasteful number, since it uses less digits than its factorization.

11139782700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62607 (or 62600 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 39.

The spelling of 11139782700 in words is "eleven billion, one hundred thirty-nine million, seven hundred eighty-two thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 599 1198 1797 2396 2995 3594 5990 7188 8985 11980 14975 17970 29950 35940 44925 59900 61991 89850 123982 179700 185973 247964 309955 371946 619910 743892 929865 1239820 1549775 1859730 3099550 3719460 4649325 6199100 9298650 18597300 37132609 74265218 111397827 148530436 185663045 222795654 371326090 445591308 556989135 742652180 928315225 1113978270 1856630450 2227956540 2784945675 3713260900 5569891350 11139782700