Search a number
-
+
412026545112 = 2337131816431621
BaseRepresentation
bin1011111111011101011…
…00100010001111011000
31110101111211122011101120
411333232230202033120
523222312243420422
6513140554445240
741524254563520
oct5775654421730
91411454564346
10412026545112
11149815274786
1267a2aa33820
132cb14138420
1415d29530680
15aab765e45c
hex5feeb223d8

412026545112 has 256 divisors, whose sum is σ = 1277548446720. Its totient is φ = 107831347200.

The previous prime is 412026545093. The next prime is 412026545257. The reversal of 412026545112 is 211545620214.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 254179662 + ... + 254181282.

It is an arithmetic number, because the mean of its divisors is an integer number (4990423620).

Almost surely, 2412026545112 is an apocalyptic number.

412026545112 is a gapful number since it is divisible by the number (42) 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 412026545112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638774223360).

412026545112 is an abundant number, since it is smaller than the sum of its proper divisors (865521901608).

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

412026545112 is a wasteful number, since it uses less digits than its factorization.

412026545112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 412026545112 in words is "four hundred twelve billion, twenty-six million, five hundred forty-five thousand, one hundred twelve".