Search a number
-
+
11880941436 = 22337131724789
BaseRepresentation
bin10110001000010100…
…01100011101111100
31010200000002100201000
423010022030131330
5143313010111221
65242533450300
7600264223140
oct130412143574
933600070630
1011880941436
115047533171
122376aa0990
1311745aa280
14809ca9220
154980a3e26
hex2c428c77c

11880941436 has 576 divisors, whose sum is σ = 41590886400. Its totient is φ = 2853937152.

The previous prime is 11880941417. The next prime is 11880941437. The reversal of 11880941436 is 63414908811.

It is a junction number, because it is equal to n+sod(n) for n = 11880941391 and 11880941400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11880941437) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 133493680 + ... + 133493768.

It is an arithmetic number, because the mean of its divisors is an integer number (72206400).

Almost surely, 211880941436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11880941436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20795443200).

11880941436 is an abundant number, since it is smaller than the sum of its proper divisors (29709944964).

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

11880941436 is a wasteful number, since it uses less digits than its factorization.

11880941436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 11880941436 in words is "eleven billion, eight hundred eighty million, nine hundred forty-one thousand, four hundred thirty-six".