Search a number
-
+
12023799406476 = 22311131710113992917
BaseRepresentation
bin1010111011111000001001…
…0010101101111110001100
31120120110112020212012220120
42232332002102231332030
53033444220122001401
641323353541544540
72350455646434144
oct256760222557614
946513466765816
1012023799406476
1139162a033a180
121422362115150
13692abb284720
142d7d5271d924
1515cb774db836
hexaef824adf8c

12023799406476 has 384 divisors, whose sum is σ = 35282009548800. Its totient is φ = 3130804224000.

The previous prime is 12023799406397. The next prime is 12023799406477. The reversal of 12023799406476 is 67460499732021.

It is not an unprimeable number, because it can be changed into a prime (12023799406477) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4121972970 + ... + 4121975886.

It is an arithmetic number, because the mean of its divisors is an integer number (91880233200).

Almost surely, 212023799406476 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 12023799406476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17641004774400).

12023799406476 is an abundant number, since it is smaller than the sum of its proper divisors (23258210142324).

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

12023799406476 is a wasteful number, since it uses less digits than its factorization.

12023799406476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4465 (or 4463 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 60.

The spelling of 12023799406476 in words is "twelve trillion, twenty-three billion, seven hundred ninety-nine million, four hundred six thousand, four hundred seventy-six".