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978756041041 = 9893212
BaseRepresentation
bin11100011111000100110…
…01111111100101010001
310110120100012011111100021
432033202121333211101
5112013443021303131
62025345002423441
7130466326036432
oct16174231774521
93416305144307
10978756041041
113480a72a6119
12139833501b81
13713b0c77c1c
143552cc6b489
151a6d66c9e11
hexe3e267f951

978756041041 has 3 divisors (see below), whose sum is σ = 978757030363. Its totient is φ = 978755051720.

The previous prime is 978756041009. The next prime is 978756041047. The reversal of 978756041041 is 140140657879.

It is a happy number.

The square root of 978756041041 is 989321.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 755632071441 + 223123969600 = 869271^2 + 472360^2 .

It is not a de Polignac number, because 978756041041 - 25 = 978756041009 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 978756041041.

It is not an unprimeable number, because it can be changed into a prime (978756041047) 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 2 ways as a sum of consecutive naturals, for example, 494661 + ... + 1483981.

Almost surely, 2978756041041 is an apocalyptic number.

978756041041 is the 989321-st square number.

978756041041 is the 494661-st centered octagonal number.

It is an amenable number.

978756041041 is a deficient number, since it is larger than the sum of its proper divisors (989322).

978756041041 is an frugal number, since it uses more digits than its factorization.

978756041041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978642 (or 989321 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 52.

The spelling of 978756041041 in words is "nine hundred seventy-eight billion, seven hundred fifty-six million, forty-one thousand, forty-one".

Divisors: 1 989321 978756041041