Search a number
-
+
64933742041 = 725926172
BaseRepresentation
bin111100011110010110…
…100100010111011001
320012121100021212110221
4330132112210113121
52030441014221131
645455151240041
74456055462200
oct743626442731
9205540255427
1064933742041
11255a144a523
1210702219021
13617a95a58c
1431ddc28237
151a5096c411
hexf1e5a45d9

64933742041 has 27 divisors (see below), whose sum is σ = 76961860959. Its totient is φ = 54625468128.

The previous prime is 64933742033. The next prime is 64933742053. The reversal of 64933742041 is 14024733946.

The square root of 64933742041 is 254821.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1880523225 + 63053218816 = 43365^2 + 251104^2 .

It is not a de Polignac number, because 64933742041 - 23 = 64933742033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (64933742021) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 105240765 + ... + 105241381.

Almost surely, 264933742041 is an apocalyptic number.

64933742041 is the 254821-st square number.

64933742041 is the 127411-st centered octagonal number.

It is an amenable number.

64933742041 is a deficient number, since it is larger than the sum of its proper divisors (12028118918).

64933742041 is an frugal number, since it uses more digits than its factorization.

64933742041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 43.

The spelling of 64933742041 in words is "sixty-four billion, nine hundred thirty-three million, seven hundred forty-two thousand, forty-one".

Divisors: 1 7 49 59 413 617 2891 3481 4319 24367 30233 36403 170569 254821 380689 1783747 2147777 2664823 15034439 18653761 22460651 105241073 157224557 1100571899 1325178409 9276248863 64933742041