Search a number
-
+
68832593883441 = 3217334801791909
BaseRepresentation
bin11111010011010010101100…
…10011101011000100110001
3100000201022221211001111100100
433221221112103223010301
533010223123013232231
6402221131310543013
720332663562253153
oct1751512623530461
9300638854044310
1068832593883441
111aa28814870093
127878274507a69
132c53b68cc4c7b
1412dd730074ad3
157e57615071e6
hex3e9a564eb131

68832593883441 has 24 divisors (see below), whose sum is σ = 99485383593960. Its totient is φ = 45860462654976.

The previous prime is 68832593883421. The next prime is 68832593883479. The reversal of 68832593883441 is 14438839523886.

68832593883441 is a `hidden beast` number, since 6 + 8 + 83 + 25 + 9 + 3 + 8 + 83 + 441 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18381121357041 + 50451472526400 = 4287321^2 + 7102920^2 .

It is not a de Polignac number, because 68832593883441 - 211 = 68832593881393 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 68832593883441.

It is not an unprimeable number, because it can be changed into a prime (68832593883421) 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, 748875195 + ... + 748967103.

It is an arithmetic number, because the mean of its divisors is an integer number (4145224316415).

Almost surely, 268832593883441 is an apocalyptic number.

It is an amenable number.

68832593883441 is a deficient number, since it is larger than the sum of its proper divisors (30652789710519).

68832593883441 is a wasteful number, since it uses less digits than its factorization.

68832593883441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141665 (or 141662 counting only the distinct ones).

The product of its digits is 955514880, while the sum is 72.

The spelling of 68832593883441 in words is "sixty-eight trillion, eight hundred thirty-two billion, five hundred ninety-three million, eight hundred eighty-three thousand, four hundred forty-one".

Divisors: 1 3 9 1733 5199 15597 48017 91909 144051 275727 432153 827181 83213461 159278297 249640383 477834891 748921149 1433504673 4413194453 13239583359 39718750077 7648065987049 22944197961147 68832593883441