Search a number
-
+
2666752146 = 23426362591
BaseRepresentation
bin1001111011110011…
…0110100010010010
320212211222001020000
42132330312202102
520430142032041
61120341430430
7123041006412
oct23674664222
96784861200
102666752146
1111493483a3
1262510b416
13336645366
141b425a642
151091b8bb6
hex9ef36892

2666752146 has 40 divisors (see below), whose sum is σ = 5998316544. Its totient is φ = 885523320.

The previous prime is 2666752133. The next prime is 2666752147. The reversal of 2666752146 is 6412576662.

It is a super-2 number, since 2×26667521462 = 14223134016391210632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2666752147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11311 + ... + 73901.

Almost surely, 22666752146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2666752146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999158272).

2666752146 is an abundant number, since it is smaller than the sum of its proper divisors (3331564398).

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

2666752146 is a wasteful number, since it uses less digits than its factorization.

2666752146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62868 (or 62859 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 2666752146 is about 51640.6055928859. The cubic root of 2666752146 is about 1386.7373655578.

The spelling of 2666752146 in words is "two billion, six hundred sixty-six million, seven hundred fifty-two thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 263 526 789 1578 2367 4734 7101 14202 21303 42606 62591 125182 187773 375546 563319 1126638 1689957 3379914 5069871 10139742 16461433 32922866 49384299 98768598 148152897 296305794 444458691 888917382 1333376073 2666752146