Search a number
-
+
1066151245962 = 231122801524287
BaseRepresentation
bin11111000001110111001…
…00001111100010001010
310202220220220122220100210
433200323210033202022
5114431434204332322
62133441053141550
7140012136031305
oct17407344174212
93686826586323
101066151245962
11381174647100
12152763a8a8b6
13796cb23882a
143985dc39b3c
151caee02a70c
hexf83b90f88a

1066151245962 has 48 divisors (see below), whose sum is σ = 2344611741696. Its totient is φ = 322960176000.

The previous prime is 1066151245927. The next prime is 1066151245963. The reversal of 1066151245962 is 2695421516601.

1066151245962 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10661512459622 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1066151245963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1771383 + ... + 2295669.

It is an arithmetic number, because the mean of its divisors is an integer number (48846077952).

Almost surely, 21066151245962 is an apocalyptic number.

1066151245962 is an abundant number, since it is smaller than the sum of its proper divisors (1278460495734).

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

1066151245962 is a wasteful number, since it uses less digits than its factorization.

1066151245962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527115 (or 527104 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The spelling of 1066151245962 in words is "one trillion, sixty-six billion, one hundred fifty-one million, two hundred forty-five thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 2801 5602 8403 16806 30811 61622 92433 184866 338921 524287 677842 1016763 1048574 1572861 2033526 3145722 5767157 11534314 17301471 34602942 63438727 126877454 190316181 380632362 1468527887 2937055774 4405583661 8811167322 16153806757 32307613514 48461420271 96922840542 177691874327 355383748654 533075622981 1066151245962