Search a number
-
+
11988643992 = 2331340993949
BaseRepresentation
bin10110010101001010…
…00011000010011000
31010221111202012211120
423022211003002120
5144023043101432
65301342125240
7603042535563
oct131245030230
933844665746
1011988643992
1150a2305746
1223a6b80820
1311909b99b0
1481a3034da
154a277ac2c
hex2ca943098

11988643992 has 64 divisors (see below), whose sum is σ = 32356380000. Its totient is φ = 3679755264.

The previous prime is 11988643987. The next prime is 11988643999. The reversal of 11988643992 is 29934688911.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11988643999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80634 + ... + 174582.

Almost surely, 211988643992 is an apocalyptic number.

11988643992 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 11988643992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16178190000).

11988643992 is an abundant number, since it is smaller than the sum of its proper divisors (20367736008).

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

11988643992 is a wasteful number, since it uses less digits than its factorization.

11988643992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94380 (or 94376 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 60.

It can be divided in two parts, 119886 and 43992, that added together give a triangular number (163878 = T572).

The spelling of 11988643992 in words is "eleven billion, nine hundred eighty-eight million, six hundred forty-three thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 409 818 1227 1636 2454 3272 4908 5317 9816 10634 15951 21268 31902 42536 63804 93949 127608 187898 281847 375796 563694 751592 1127388 1221337 2254776 2442674 3664011 4885348 7328022 9770696 14656044 29312088 38425141 76850282 115275423 153700564 230550846 307401128 461101692 499526833 922203384 999053666 1498580499 1998107332 2997160998 3996214664 5994321996 11988643992