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13741466176 = 26146532
BaseRepresentation
bin11001100110000111…
…00010001001000000
31022110122222210211201
430303003202021000
5211120303404201
610151315150544
7664345351414
oct146303421100
938418883751
1013741466176
115911776a19
1227b5ba5454
1313acb9c099
14945018d44
155565b5801
hex3330e2240

13741466176 has 21 divisors (see below), whose sum is σ = 27270083001. Its totient is φ = 6870264192.

The previous prime is 13741466171. The next prime is 13741466239. The reversal of 13741466176 is 67166414731.

The square root of 13741466176 is 117224.

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., 11142913600 + 2598552576 = 105560^2 + 50976^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13741466171) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 930466 + ... + 945118.

It is an arithmetic number, because the mean of its divisors is an integer number (1298575381).

Almost surely, 213741466176 is an apocalyptic number.

13741466176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13741466176 is the 117224-th square number.

It is an amenable number.

13741466176 is a deficient number, since it is larger than the sum of its proper divisors (13528616825).

13741466176 is an frugal number, since it uses more digits than its factorization.

13741466176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29318 (or 14655 counting only the distinct ones).

The product of its digits is 508032, while the sum is 46.

The spelling of 13741466176 in words is "thirteen billion, seven hundred forty-one million, four hundred sixty-six thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 14653 29306 58612 117224 234448 468896 937792 214710409 429420818 858841636 1717683272 3435366544 6870733088 13741466176