Search a number
-
+
1006156615074 = 231324153524663
BaseRepresentation
bin11101010010000111001…
…10111000110110100010
310120012001210011212122120
432221003212320312202
5112441102043140244
62050115540045110
7132456333055062
oct16510346706642
93505053155576
101006156615074
113587881a6a26
12142bbb993796
1373b5993b440
14369abd833a2
151b28bed8819
hexea439b8da2

1006156615074 has 32 divisors (see below), whose sum is σ = 2176098739584. Its totient is φ = 308302053120.

The previous prime is 1006156615069. The next prime is 1006156615117. The reversal of 1006156615074 is 4705166516001.

It is a happy number.

1006156615074 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 2×10061566150742 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26743534 + ... + 26781129.

It is an arithmetic number, because the mean of its divisors is an integer number (68003085612).

Almost surely, 21006156615074 is an apocalyptic number.

1006156615074 is an abundant number, since it is smaller than the sum of its proper divisors (1169942124510).

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

1006156615074 is a wasteful number, since it uses less digits than its factorization.

1006156615074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53524922.

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 1006156615074 in words is "one trillion, six billion, one hundred fifty-six million, six hundred fifteen thousand, seventy-four".

Divisors: 1 2 3 6 13 26 39 78 241 482 723 1446 3133 6266 9399 18798 53524663 107049326 160573989 321147978 695820619 1391641238 2087461857 4174923714 12899443783 25798887566 38698331349 77396662698 167692769179 335385538358 503078307537 1006156615074