Search a number
-
+
2066141034 = 23516725457
BaseRepresentation
bin111101100100110…
…1100111101101010
312022222210211200000
41323021230331222
513212413003114
6541004323430
7102125623536
oct17311547552
95288724600
102066141034
11970312381
12497b43576
1326c094579
14158594bc6
15c15c9e09
hex7b26cf6a

2066141034 has 48 divisors (see below), whose sum is σ = 4670422848. Its totient is φ = 684562752.

The previous prime is 2066141027. The next prime is 2066141071. The reversal of 2066141034 is 4301416602.

2066141034 is a `hidden beast` number, since 2 + 0 + 6 + 614 + 10 + 34 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2066140989 and 2066141007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68434 + ... + 93890.

It is an arithmetic number, because the mean of its divisors is an integer number (97300476).

Almost surely, 22066141034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2066141034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2335211424).

2066141034 is an abundant number, since it is smaller than the sum of its proper divisors (2604281814).

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

2066141034 is a wasteful number, since it uses less digits than its factorization.

2066141034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25641 (or 25629 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2066141034 is about 45454.8241004186. The cubic root of 2066141034 is about 1273.6594463796.

Adding to 2066141034 its reverse (4301416602), we get a palindrome (6367557636).

The spelling of 2066141034 in words is "two billion, sixty-six million, one hundred forty-one thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 167 243 334 486 501 1002 1503 3006 4509 9018 13527 25457 27054 40581 50914 76371 81162 152742 229113 458226 687339 1374678 2062017 4124034 4251319 6186051 8502638 12372102 12753957 25507914 38261871 76523742 114785613 229571226 344356839 688713678 1033070517 2066141034