Search a number
-
+
10276087224942 = 23771126194481
BaseRepresentation
bin1001010110001001011010…
…0001110101101001101110
31100101101101012001110000000
42111202112201311221232
52321330411312144232
633504434100245130
72110265010133410
oct225422641655156
940341335043000
1010276087224942
113302078383500
12119b6a89a07a6
13597052a7a896
1427751845c9b0
1512c4880e027c
hex95896875a6e

10276087224942 has 384 divisors, whose sum is σ = 29093787878400. Its totient is φ = 2664206899200.

The previous prime is 10276087224941. The next prime is 10276087224967. The reversal of 10276087224942 is 24942278067201.

10276087224942 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 608 + 7 + 2 + 24 + 9 + 4 + 2 = 666.

10276087224942 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10276087224941) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2293255342 + ... + 2293259822.

It is an arithmetic number, because the mean of its divisors is an integer number (75765072600).

Almost surely, 210276087224942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10276087224942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14546893939200).

10276087224942 is an abundant number, since it is smaller than the sum of its proper divisors (18817700653458).

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

10276087224942 is an equidigital number, since it uses as much as digits as its factorization.

10276087224942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5152 (or 5123 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 10276087224942 in words is "ten trillion, two hundred seventy-six billion, eighty-seven million, two hundred twenty-four thousand, nine hundred forty-two".