Search a number
-
+
23066054046000 = 24335372913715359
BaseRepresentation
bin1010011111010011110111…
…11101010011000100110000
310000200002111222001222201000
411033221323331103010300
511010403234313433000
6121020222101042000
74600316215300410
oct517517375230460
9100602458058630
1023066054046000
1173932931a6179
1227064329b6300
13cb41728b0754
1459a58da84640
152a000358e000
hex14fa7bf53130

23066054046000 has 1280 divisors, whose sum is σ = 98407415808000. Its totient is φ = 5052954009600.

The previous prime is 23066054045999. The next prime is 23066054046017. The reversal of 23066054046000 is 64045066032.

23066054046000 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 6 + 0 + 5 + 40 + 4 + 600 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1501786321 + ... + 1501801679.

It is an arithmetic number, because the mean of its divisors is an integer number (76880793600).

Almost surely, 223066054046000 is an apocalyptic number.

23066054046000 is a gapful number since it is divisible by the number (20) 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 23066054046000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49203707904000).

23066054046000 is an abundant number, since it is smaller than the sum of its proper divisors (75341361762000).

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

23066054046000 is a wasteful number, since it uses less digits than its factorization.

23066054046000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15564 (or 15542 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 23066054046000 in words is "twenty-three trillion, sixty-six billion, fifty-four million, forty-six thousand".