Search a number
-
+
12023561104 = 247923472
BaseRepresentation
bin10110011001010100…
…01111101110010000
31011000221110012002221
423030222033232100
5144111012423404
65305030350424
7603645404002
oct131452175620
934027405087
1012023561104
11510aa94465
1223b67bb414
131197cc3ac9
14820bd2372
154a5876954
hex2cca8fb90

12023561104 has 45 divisors (see below), whose sum is σ = 23662454907. Its totient is φ = 5918576352.

The previous prime is 12023561071. The next prime is 12023561131. The reversal of 12023561104 is 40116532021.

It is a happy number.

The square root of 12023561104 is 109652.

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

12023561104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 34649859 + ... + 34650205.

Almost surely, 212023561104 is an apocalyptic number.

12023561104 is the 109652-nd square number.

It is an amenable number.

12023561104 is a deficient number, since it is larger than the sum of its proper divisors (11638893803).

12023561104 is an frugal number, since it uses more digits than its factorization.

12023561104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Multiplying 12023561104 by its sum of digits (25), we get a square (300589027600 = 5482602).

The spelling of 12023561104 in words is "twelve billion, twenty-three million, five hundred sixty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 79 158 316 347 632 694 1264 1388 2776 5552 6241 12482 24964 27413 49928 54826 99856 109652 120409 219304 240818 438608 481636 963272 1926544 2165627 4331254 8662508 9512311 17325016 19024622 34650032 38049244 76098488 152196976 751472569 1502945138 3005890276 6011780552 12023561104