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14542671649 = 1121925772
BaseRepresentation
bin11011000101100111…
…11000111100100001
31101112111121021010111
431202303320330201
5214240410443044
610403015531321
71023244445422
oct154263707441
941474537114
1014542671649
116192a60500
12299a389b41
1314a9b8486c
149bd5b9649
155a1ac9b34
hex362cf8f21

14542671649 has 27 divisors (see below), whose sum is σ = 16899800211. Its totient is φ = 12503082240.

The previous prime is 14542671601. The next prime is 14542671659. The reversal of 14542671649 is 94617624541.

The square root of 14542671649 is 120593.

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., 14442030625 + 100641024 = 120175^2 + 10032^2 .

It is not a de Polignac number, because 14542671649 - 229 = 14005800737 is a prime.

It is a super-2 number, since 2×145426716492 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14542671659) 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, 25203649 + ... + 25204225.

Almost surely, 214542671649 is an apocalyptic number.

14542671649 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

14542671649 is the 120593-rd square number.

14542671649 is the 60297-th centered octagonal number.

It is an amenable number.

14542671649 is a deficient number, since it is larger than the sum of its proper divisors (2357128562).

14542671649 is an frugal number, since it uses more digits than its factorization.

14542671649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 607 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 49.

Multiplying 14542671649 by its sum of digits (49), we get a square (712590910801 = 8441512).

The spelling of 14542671649 in words is "fourteen billion, five hundred forty-two million, six hundred seventy-one thousand, six hundred forty-nine".

Divisors: 1 11 19 121 209 361 577 2299 3971 6347 10963 43681 69817 120593 208297 332929 1326523 2291267 3662219 6325651 25203937 40284409 69582161 120187369 765403771 1322061059 14542671649