Search a number
-
+
11190774672 = 2434711127883
BaseRepresentation
bin10100110110000010…
…11010101110010000
31001212220102020220000
422123001122232100
5140404314242142
65050241050000
7544214005140
oct123301325620
931786366800
1011190774672
11482299a710
122203926900
13109460187c
14782370920
154576c514c
hex29b05ab90

11190774672 has 400 divisors, whose sum is σ = 40745582592. Its totient is φ = 2880541440.

The previous prime is 11190774619. The next prime is 11190774743. The reversal of 11190774672 is 27647709111.

11190774672 is a `hidden beast` number, since 1 + 119 + 0 + 77 + 467 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12673143 + ... + 12674025.

Almost surely, 211190774672 is an apocalyptic number.

11190774672 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 11190774672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20372791296).

11190774672 is an abundant number, since it is smaller than the sum of its proper divisors (29554807920).

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

11190774672 is a wasteful number, since it uses less digits than its factorization.

11190774672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 11190774672 in words is "eleven billion, one hundred ninety million, seven hundred seventy-four thousand, six hundred seventy-two".