Search a number
-
+
11251153536 = 27374185697
BaseRepresentation
bin10100111101001111…
…01111101010000000
31002001010000211010020
422132213233222000
5141020243403121
65100235133440
7545546140620
oct123647575200
932033024106
1011251153536
114853a8a1a7
12221bba4280
1310a3c820cc
1478a3aa880
1545cb501c6
hex29e9efa80

11251153536 has 64 divisors (see below), whose sum is σ = 34155295680. Its totient is φ = 3214614528.

The previous prime is 11251153517. The next prime is 11251153541. The reversal of 11251153536 is 63535115211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 11251153497 and 11251153506.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2090161 + ... + 2095536.

It is an arithmetic number, because the mean of its divisors is an integer number (533676495).

Almost surely, 211251153536 is an apocalyptic number.

11251153536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11251153536 is an abundant number, since it is smaller than the sum of its proper divisors (22904142144).

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

11251153536 is an equidigital number, since it uses as much as digits as its factorization.

11251153536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4185721 (or 4185709 counting only the distinct ones).

The product of its digits is 13500, while the sum is 33.

Adding to 11251153536 its reverse (63535115211), we get a palindrome (74786268747).

The spelling of 11251153536 in words is "eleven billion, two hundred fifty-one million, one hundred fifty-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 4185697 8371394 12557091 16742788 25114182 29299879 33485576 50228364 58599758 66971152 87899637 100456728 117199516 133942304 175799274 200913456 234399032 267884608 351598548 401826912 468798064 535769216 703197096 803653824 937596128 1406394192 1607307648 1875192256 2812788384 3750384512 5625576768 11251153536