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107585204841 = 3211953911649
BaseRepresentation
bin110010000110010010…
…0111111001001101001
3101021200210112200011100
41210030210333021221
53230313303023331
6121231324152013
710526030103222
oct1441444771151
9337623480140
10107585204841
1141699052834
1218a26098609
13a1b7130c2a
1452c85d2249
152bea0ecae6
hex190c93f269

107585204841 has 6 divisors (see below), whose sum is σ = 155400851450. Its totient is φ = 71723469888.

The previous prime is 107585204809. The next prime is 107585204861. The reversal of 107585204841 is 148402585701.

107585204841 is a `hidden beast` number, since 1 + 0 + 7 + 585 + 20 + 4 + 8 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 68685926400 + 38899278441 = 262080^2 + 197229^2 .

It is not a de Polignac number, because 107585204841 - 25 = 107585204809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107585204861) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5976955816 + ... + 5976955833.

Almost surely, 2107585204841 is an apocalyptic number.

It is an amenable number.

107585204841 is a deficient number, since it is larger than the sum of its proper divisors (47815646609).

107585204841 is a wasteful number, since it uses less digits than its factorization.

107585204841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11953911655 (or 11953911652 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 107585204841 in words is "one hundred seven billion, five hundred eighty-five million, two hundred four thousand, eight hundred forty-one".

Divisors: 1 3 9 11953911649 35861734947 107585204841