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1076263079761 = 472220732
BaseRepresentation
bin11111010100101100100…
…01110100111101010001
310210220000121212021121201
433222112101310331101
5120113141322023021
62142232312551201
7140520542143312
oct17522621647521
93726017767551
101076263079761
113854934a5541
121547063b2501
137a650150c3c
143a13cb90609
151cee1b29591
hexfa96474f51

1076263079761 has 9 divisors (see below), whose sum is σ = 1099699332571. Its totient is φ = 1053316143472.

The previous prime is 1076263079747. The next prime is 1076263079767. The reversal of 1076263079761 is 1679703626701.

The square root of 1076263079761 is 1037431.

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., 1043554187025 + 32708892736 = 1021545^2 + 180856^2 .

It is not a de Polignac number, because 1076263079761 - 227 = 1076128862033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1076263079767) 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, 48748221 + ... + 48770293.

Almost surely, 21076263079761 is an apocalyptic number.

1076263079761 is the 1037431-st square number.

1076263079761 is the 518716-th centered octagonal number.

It is an amenable number.

1076263079761 is a deficient number, since it is larger than the sum of its proper divisors (23436252810).

1076263079761 is an frugal number, since it uses more digits than its factorization.

1076263079761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44240 (or 22120 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 55.

The spelling of 1076263079761 in words is "one trillion, seventy-six billion, two hundred sixty-three million, seventy-nine thousand, seven hundred sixty-one".

Divisors: 1 47 2209 22073 1037431 48759257 487217329 22899214463 1076263079761