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11192199432 = 23319103923623
BaseRepresentation
bin10100110110001101…
…10110100100001000
31001220000002122021220
422123012312210020
5140410200340212
65050331402040
7544232061021
oct123306664410
931800078256
1011192199432
1148237830a7
1222042b3320
1310949b021b
14782621c48
154578a738c
hex29b1b6908

11192199432 has 64 divisors (see below), whose sum is σ = 29482752000. Its totient is φ = 3530827584.

The previous prime is 11192199427. The next prime is 11192199443. The reversal of 11192199432 is 23499129111.

It is a happy number.

It is a super-2 number, since 2×111921994322 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 461973 + ... + 485595.

It is an arithmetic number, because the mean of its divisors is an integer number (460668000).

Almost surely, 211192199432 is an apocalyptic number.

11192199432 is a gapful number since it is divisible by the number (12) 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 11192199432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14741376000).

11192199432 is an abundant number, since it is smaller than the sum of its proper divisors (18290552568).

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

11192199432 is a wasteful number, since it uses less digits than its factorization.

11192199432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24690 (or 24686 counting only the distinct ones).

The product of its digits is 34992, while the sum is 42.

The spelling of 11192199432 in words is "eleven billion, one hundred ninety-two million, one hundred ninety-nine thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 1039 2078 3117 4156 6234 8312 12468 19741 23623 24936 39482 47246 59223 70869 78964 94492 118446 141738 157928 188984 236892 283476 448837 473784 566952 897674 1346511 1795348 2693022 3590696 5386044 10772088 24544297 49088594 73632891 98177188 147265782 196354376 294531564 466341643 589063128 932683286 1399024929 1865366572 2798049858 3730733144 5596099716 11192199432