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16266823236225 = 3452896272
BaseRepresentation
bin1110110010110110101000…
…1110000111101010000001
32010121002111212202121110000
43230231222032013222001
54113003423222024400
654332513032030213
73266145021060252
oct354555216075201
963532455677400
1016266823236225
1152017a2707031
1219a8752232369
1390cc54a5a743
14403465b58b29
151d320db02600
hexecb6a387a81

16266823236225 has 45 divisors (see below), whose sum is σ = 30132115927507. Its totient is φ = 8675542262160.

The previous prime is 16266823236211. The next prime is 16266823236259. The reversal of 16266823236225 is 52263232866261.

The square root of 16266823236225 is 4033215.

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

16266823236225 is a `hidden beast` number, since 1 + 6 + 2 + 6 + 6 + 8 + 2 + 3 + 2 + 3 + 622 + 5 = 666.

16266823236225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5856056365041 + 10410766871184 = 2419929^2 + 3226572^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 16266823236225 - 29 = 16266823235713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 181449862 + ... + 181539488.

Almost surely, 216266823236225 is an apocalyptic number.

16266823236225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

16266823236225 is the 4033215-th square number.

16266823236225 is the 2016608-th centered octagonal number.

It is an amenable number.

16266823236225 is a deficient number, since it is larger than the sum of its proper divisors (13865292691282).

16266823236225 is an frugal number, since it uses more digits than its factorization.

16266823236225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179276 (or 89635 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 16266823236225 in words is "sixteen trillion, two hundred sixty-six billion, eight hundred twenty-three million, two hundred thirty-six thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 89627 268881 448135 806643 1344405 2240675 2419929 4033215 6722025 7259787 12099645 20166075 36298935 60498225 181494675 8032999129 24098997387 40164995645 72296992161 120494986935 200824978225 216890976483 361484960805 602474934675 650672929449 1084454882415 1807424804025 3253364647245 5422274412075 16266823236225