Search a number
-
+
11923697404440 = 233252318124133013
BaseRepresentation
bin1010110110000011001110…
…1111111000101000011000
31120012220010222021122011200
42231200303233320220120
53030324213013420230
641205400532354200
72340313223444463
oct255406357705030
946186128248150
1011923697404440
1138878a2375478
121406a86175960
136865275b0163
142d3177d0a2da
1515a269354160
hexad833bf8a18

11923697404440 has 384 divisors, whose sum is σ = 40830246737280. Its totient is φ = 3011962060800.

The previous prime is 11923697404397. The next prime is 11923697404447. The reversal of 11923697404440 is 4440479632911.

It is a happy number.

11923697404440 is a `hidden beast` number, since 1 + 192 + 3 + 6 + 9 + 7 + 4 + 0 + 4 + 440 = 666.

11923697404440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11923697404447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 361165374 + ... + 361198386.

It is an arithmetic number, because the mean of its divisors is an integer number (106328767545).

Almost surely, 211923697404440 is an apocalyptic number.

11923697404440 is a gapful number since it is divisible by the number (10) 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 11923697404440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20415123368640).

11923697404440 is an abundant number, since it is smaller than the sum of its proper divisors (28906549332840).

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

11923697404440 is a wasteful number, since it uses less digits than its factorization.

11923697404440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33475 (or 33468 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 11923697404440 in words is "eleven trillion, nine hundred twenty-three billion, six hundred ninety-seven million, four hundred four thousand, four hundred forty".