Search a number
-
+
42961978617 = 341997335023
BaseRepresentation
bin101000000000101110…
…111100010011111001
311002220002112122022020
4220000232330103321
51200441231303432
631423024145053
73050431535655
oct500056742371
9132802478266
1042961978617
1117246a0a458
1283aba68189
134088913a2c
142117b17a65
1511b6a6a22c
hexa00bbc4f9

42961978617 has 16 divisors (see below), whose sum is σ = 58687335168. Its totient is φ = 27939150720.

The previous prime is 42961978601. The next prime is 42961978627. The reversal of 42961978617 is 71687916924.

It is not a de Polignac number, because 42961978617 - 24 = 42961978601 is a prime.

It is a super-3 number, since 3×429619786173 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (42961978627) 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 15 ways as a sum of consecutive naturals, for example, 1209168 + ... + 1244190.

It is an arithmetic number, because the mean of its divisors is an integer number (3667958448).

Almost surely, 242961978617 is an apocalyptic number.

It is an amenable number.

42961978617 is a deficient number, since it is larger than the sum of its proper divisors (15725356551).

42961978617 is a wasteful number, since it uses less digits than its factorization.

42961978617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45040.

The product of its digits is 9144576, while the sum is 60.

The spelling of 42961978617 in words is "forty-two billion, nine hundred sixty-one million, nine hundred seventy-eight thousand, six hundred seventeen".

Divisors: 1 3 41 123 9973 29919 35023 105069 408893 1226679 1435943 4307829 349284379 1047853137 14320659539 42961978617