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11889503521 = 723724212
BaseRepresentation
bin10110001001010101…
…10110110100100001
31010200121012100200021
423010222312310201
5143322203103041
65243441153441
7600430053400
oct130452666441
933617170607
1011889503521
115051350a75
12237992b881
1311762b74ac
1480b097637
15498be5cd1
hex2c4ab6d21

11889503521 has 27 divisors (see below), whose sum is σ = 14248394937. Its totient is φ = 9892018080.

The previous prime is 11889503513. The next prime is 11889503533. The reversal of 11889503521 is 12530598811.

The square root of 11889503521 is 109039.

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

It can be written as a sum of positive squares in 4 ways, for example, as 793830625 + 11095672896 = 28175^2 + 105336^2 .

It is not a de Polignac number, because 11889503521 - 23 = 11889503513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11889500521) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28240891 + ... + 28241311.

It is an arithmetic number, because the mean of its divisors is an integer number (527718331).

Almost surely, 211889503521 is an apocalyptic number.

11889503521 is the 109039-th square number.

11889503521 is the 54520-th centered octagonal number.

It is an amenable number.

11889503521 is a deficient number, since it is larger than the sum of its proper divisors (2358891416).

11889503521 is an frugal number, since it uses more digits than its factorization.

11889503521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 43.

The spelling of 11889503521 in words is "eleven billion, eight hundred eighty-nine million, five hundred three thousand, five hundred twenty-one".

Divisors: 1 7 37 49 259 421 1369 1813 2947 9583 15577 20629 67081 109039 177241 576349 763273 1240687 4034443 6557917 8684809 28241101 45905419 242642929 321337933 1698500503 11889503521