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12416867761 = 1114312
BaseRepresentation
bin10111001000001101…
…00101110110110001
31012001100112020102011
423210012211312301
5200412204232021
65412040322521
7616462430434
oct134406456661
935040466364
1012416867761
1152a1aa8591
1224a6473441
13122b63093c
1485b13381b
154ca166de1
hex2e41a5db1

12416867761 has 3 divisors (see below), whose sum is σ = 12416979193. Its totient is φ = 12416756330.

The previous prime is 12416867759. The next prime is 12416867831. The reversal of 12416867761 is 16776861421.

It is a happy number.

The square root of 12416867761 is 111431.

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

12416867761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 is not a de Polignac number, because 12416867761 - 21 = 12416867759 is a prime.

It is a super-2 number, since 2×124168677612 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12416867461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 55716 + ... + 167146.

Almost surely, 212416867761 is an apocalyptic number.

12416867761 is the 111431-st square number.

12416867761 is the 55716-th centered octagonal number.

It is an amenable number.

12416867761 is a deficient number, since it is larger than the sum of its proper divisors (111432).

12416867761 is an frugal number, since it uses more digits than its factorization.

12416867761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222862 (or 111431 counting only the distinct ones).

The product of its digits is 677376, while the sum is 49.

Multiplying 12416867761 by its sum of digits (49), we get a square (608426520289 = 7800172).

The spelling of 12416867761 in words is "twelve billion, four hundred sixteen million, eight hundred sixty-seven thousand, seven hundred sixty-one".

Divisors: 1 111431 12416867761