Search a number
-
+
11992400987196 = 223717299721114149
BaseRepresentation
bin1010111010000011001011…
…0011010000010000111100
31120110110111001012020220210
42232200302303100100330
53032440414123042241
641301122152512420
72345264606325150
oct256406263202074
946413431166823
1011992400987196
113903a48797033
12141825a9ab710
1368cb562754c6
142d6614695060
1515be3ac31316
hexae832cd043c

11992400987196 has 384 divisors, whose sum is σ = 35559869184000. Its totient is φ = 3066725007360.

The previous prime is 11992400987191. The next prime is 11992400987197. The reversal of 11992400987196 is 69178900429911.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11992400987191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 847572330 + ... + 847586478.

It is an arithmetic number, because the mean of its divisors is an integer number (92603826000).

Almost surely, 211992400987196 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 11992400987196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17779934592000).

11992400987196 is an abundant number, since it is smaller than the sum of its proper divisors (23567468196804).

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

11992400987196 is a wasteful number, since it uses less digits than its factorization.

11992400987196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14517 (or 14515 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 66.

The spelling of 11992400987196 in words is "eleven trillion, nine hundred ninety-two billion, four hundred million, nine hundred eighty-seven thousand, one hundred ninety-six".