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987183332041 = 972102432
BaseRepresentation
bin11100101110110001011…
…01100011101011001001
310111101002111121020022011
432113120231203223021
5112133222413111131
62033301124455521
7131215215605104
oct16273055435311
93441074536264
10987183332041
11350731289625
1213b3a584a5a1
1372124b9654a
1435acc1a173b
151aa2b47a0b1
hexe5d8b63ac9

987183332041 has 9 divisors (see below), whose sum is σ = 997562788551. Its totient is φ = 976910801472.

The previous prime is 987183332011. The next prime is 987183332077. The reversal of 987183332041 is 140233381789.

The square root of 987183332041 is 993571.

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

It can be written as a sum of positive squares in only one way, i.e., 443282982025 + 543900350016 = 665795^2 + 737496^2 .

It is a de Polignac number, because none of the positive numbers 2k-987183332041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (987183332011) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 96371266 + ... + 96381508.

It is an arithmetic number, because the mean of its divisors is an integer number (110840309839).

Almost surely, 2987183332041 is an apocalyptic number.

987183332041 is the 993571-st square number.

987183332041 is the 496786-th centered octagonal number.

It is an amenable number.

987183332041 is a deficient number, since it is larger than the sum of its proper divisors (10379456510).

987183332041 is an frugal number, since it uses more digits than its factorization.

987183332041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20680 (or 10340 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

Multiplying 987183332041 by its sum of digits (49), we get a square (48371983270009 = 69549972).

The spelling of 987183332041 in words is "nine hundred eighty-seven billion, one hundred eighty-three million, three hundred thirty-two thousand, forty-one".

Divisors: 1 97 9409 10243 993571 96376387 104919049 10177147753 987183332041