Search a number
-
+
11190677796 = 22386532
BaseRepresentation
bin10100110110000010…
…00011000100100100
31001212220020100000000
422123001003010210
5140404303142141
65050235021300
7544213122534
oct123301030444
931786210000
1011190677796
114822933951
12220389a830
13109459974c
147823474c4
154576a65b6
hex29b043124

11190677796 has 81 divisors (see below), whose sum is σ = 29419088881. Its totient is φ = 3724513488.

The previous prime is 11190677791. The next prime is 11190677809. The reversal of 11190677796 is 69777609111.

The square root of 11190677796 is 105786.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2604060900 + 8586616896 = 51030^2 + 92664^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11190677791) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17137006 + ... + 17137658.

Almost surely, 211190677796 is an apocalyptic number.

11190677796 is the 105786-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11190677796

11190677796 is an abundant number, since it is smaller than the sum of its proper divisors (18228411085).

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

11190677796 is an frugal number, since it uses more digits than its factorization.

11190677796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 1000188, while the sum is 54.

The spelling of 11190677796 in words is "eleven billion, one hundred ninety million, six hundred seventy-seven thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 653 729 972 1306 1458 1959 2187 2612 2916 3918 4374 5877 6561 7836 8748 11754 13122 17631 23508 26244 35262 52893 70524 105786 158679 211572 317358 426409 476037 634716 852818 952074 1279227 1428111 1705636 1904148 2558454 2856222 3837681 4284333 5116908 5712444 7675362 8568666 11513043 15350724 17137332 23026086 34539129 46052172 69078258 103617387 138156516 207234774 310852161 414469548 621704322 932556483 1243408644 1865112966 2797669449 3730225932 5595338898 11190677796