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11423120641 = 17262872
BaseRepresentation
bin10101010001101111…
…01111110100000001
31002111002121122122021
422220313233310001
5141343304330031
65125301041441
7553034631502
oct125067576401
932432548567
1011423120641
114932065679
1222696b6281
1311007a28aa
147a5172ba9
1546ccbd511
hex2a8defd01

11423120641 has 9 divisors (see below), whose sum is σ = 12136525699. Its totient is φ = 10749462304.

The previous prime is 11423120623. The next prime is 11423120647. The reversal of 11423120641 is 14602132411.

The square root of 11423120641 is 106879.

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., 8893433025 + 2529687616 = 94305^2 + 50296^2 .

It is not a de Polignac number, because 11423120641 - 221 = 11421023489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11423120647) 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, 1813800 + ... + 1820086.

Almost surely, 211423120641 is an apocalyptic number.

11423120641 is the 106879-th square number.

11423120641 is the 53440-th centered octagonal number.

It is an amenable number.

11423120641 is a deficient number, since it is larger than the sum of its proper divisors (713405058).

11423120641 is an frugal number, since it uses more digits than its factorization.

11423120641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12608 (or 6304 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Multiplying 11423120641 by its sum of digits (25), we get a square (285578016025 = 5343952).

The spelling of 11423120641 in words is "eleven billion, four hundred twenty-three million, one hundred twenty thousand, six hundred forty-one".

Divisors: 1 17 289 6287 106879 1816943 39526369 671948273 11423120641