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9742375410641 = 461183291152989
BaseRepresentation
bin1000110111000101001011…
…0100110101101111010001
31021111100202220010010101122
42031301102310311233101
52234104341101120031
632415330244012025
72023602100434116
oct215612264655721
937440686103348
109742375410641
113116799a32a55
121114179991015
135589185687c3
14259767c5690d
1511d64ca8647b
hex8dc52d35bd1

9742375410641 has 8 divisors (see below), whose sum is σ = 9764049695400. Its totient is φ = 9720703469440.

The previous prime is 9742375410631. The next prime is 9742375410671. The reversal of 9742375410641 is 1460145732479.

It can be written as a sum of positive squares in 4 ways, for example, as 478393555600 + 9263981855041 = 691660^2 + 3043679^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 9742375410641 - 222 = 9742371216337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9742375410601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7873175 + ... + 9026163.

It is an arithmetic number, because the mean of its divisors is an integer number (1220506211925).

Almost surely, 29742375410641 is an apocalyptic number.

It is an amenable number.

9742375410641 is a deficient number, since it is larger than the sum of its proper divisors (21674284759).

9742375410641 is a wasteful number, since it uses less digits than its factorization.

9742375410641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171779.

The product of its (nonzero) digits is 5080320, while the sum is 53.

The spelling of 9742375410641 in words is "nine trillion, seven hundred forty-two billion, three hundred seventy-five million, four hundred ten thousand, six hundred forty-one".

Divisors: 1 461 18329 1152989 8449669 531527929 21133135381 9742375410641