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41106253061 = 617323813877
BaseRepresentation
bin100110010010000111…
…111010010100000101
310221002202200000102002
4212102013322110011
51133141200044221
630514533355045
72653436246246
oct462207722405
9127082600362
1041106253061
1116484454375
127b72498a85
133b51312483
141dbd496ccd
151108ba580b
hex9921fa505

41106253061 has 16 divisors (see below), whose sum is σ = 42381172848. Its totient is φ = 39851481600.

The previous prime is 41106253049. The next prime is 41106253073. The reversal of 41106253061 is 16035260114.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (41106253049) and next prime (41106253073).

It can be written as a sum of positive squares in 8 ways, for example, as 20115748900 + 20990504161 = 141830^2 + 144881^2 .

It is a cyclic number.

It is not a de Polignac number, because 41106253061 - 226 = 41039144197 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41106153061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10600655 + ... + 10604531.

It is an arithmetic number, because the mean of its divisors is an integer number (2648823303).

Almost surely, 241106253061 is an apocalyptic number.

It is an amenable number.

41106253061 is a deficient number, since it is larger than the sum of its proper divisors (1274919787).

41106253061 is a wasteful number, since it uses less digits than its factorization.

41106253061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6392.

The product of its (nonzero) digits is 4320, while the sum is 29.

The spelling of 41106253061 in words is "forty-one billion, one hundred six million, two hundred fifty-three thousand, sixty-one".

Divisors: 1 61 73 2381 3877 4453 145241 173813 236497 283021 9231137 10602593 17264281 563099357 673873001 41106253061