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871442787121 = 672139332
BaseRepresentation
bin11001010111001100000…
…10011010101100110001
310002022100100100100201021
430223212002122230301
5103234203323141441
61504200231135441
7116650110321064
oct14534602325461
93068310310637
10871442787121
1130663880a115
12120a84514581
136423b2a3aca
143026c82a8db
1517a053ea3d1
hexcae609ab31

871442787121 has 9 divisors (see below), whose sum is σ = 884707021611. Its totient is φ = 858374566632.

The previous prime is 871442787109. The next prime is 871442787139. The reversal of 871442787121 is 121787244178.

The square root of 871442787121 is 933511.

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., 869192613025 + 2250174096 = 932305^2 + 47436^2 .

It is not a de Polignac number, because 871442787121 - 233 = 862852852529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (871442787101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 62538271 + ... + 62552203.

It is an arithmetic number, because the mean of its divisors is an integer number (98300780179).

Almost surely, 2871442787121 is an apocalyptic number.

871442787121 is the 933511-st square number.

871442787121 is the 466756-th centered octagonal number.

It is an amenable number.

871442787121 is a deficient number, since it is larger than the sum of its proper divisors (13264234490).

871442787121 is an frugal number, since it uses more digits than its factorization.

871442787121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28000 (or 14000 counting only the distinct ones).

The product of its digits is 1404928, while the sum is 52.

The spelling of 871442787121 in words is "eight hundred seventy-one billion, four hundred forty-two million, seven hundred eighty-seven thousand, one hundred twenty-one".

Divisors: 1 67 4489 13933 933511 62545237 194128489 13006608763 871442787121