Search a number
-
+
11684210832 = 24327412691051
BaseRepresentation
bin10101110000110111…
…01110100010010000
31010011021220102001100
422320123232202100
5142412124221312
65211225104400
7562355103420
oct127033564220
933137812040
1011684210832
114a56483598
122321028100
1311428c9128
147cbad8480
15485b935dc
hex2b86ee890

11684210832 has 240 divisors, whose sum is σ = 38461288320. Its totient is φ = 3241728000.

The previous prime is 11684210827. The next prime is 11684210833. The reversal of 11684210832 is 23801248611.

It is a super-2 number, since 2×116842108322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11684210833) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11116707 + ... + 11117757.

It is an arithmetic number, because the mean of its divisors is an integer number (160255368).

Almost surely, 211684210832 is an apocalyptic number.

11684210832 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 11684210832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19230644160).

11684210832 is an abundant number, since it is smaller than the sum of its proper divisors (26777077488).

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

11684210832 is a wasteful number, since it uses less digits than its factorization.

11684210832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 11684210832 in words is "eleven billion, six hundred eighty-four million, two hundred ten thousand, eight hundred thirty-two".