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11980280832 = 210313319677
BaseRepresentation
bin10110010100001010…
…01001010000000000
31010220221000022201220
423022011021100000
5144013422441312
65300442555040
7602611464312
oct131205112000
933827008656
1011980280832
115098613343
1223a4208a80
13118c04c190
148191677b2
154a1b77c8c
hex2ca149400

11980280832 has 176 divisors, whose sum is σ = 35501071872. Its totient is φ = 3566960640.

The previous prime is 11980280831. The next prime is 11980280861. The reversal of 11980280832 is 23808208911.

It is a super-2 number, since 2×119802808322 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11980280831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1233178 + ... + 1242854.

Almost surely, 211980280832 is an apocalyptic number.

11980280832 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 11980280832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17750535936).

11980280832 is an abundant number, since it is smaller than the sum of its proper divisors (23520791040).

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

11980280832 is a wasteful number, since it uses less digits than its factorization.

11980280832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9744 (or 9726 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The spelling of 11980280832 in words is "eleven billion, nine hundred eighty million, two hundred eighty thousand, eight hundred thirty-two".