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13730683684 = 2241214292
BaseRepresentation
bin11001100100110100…
…11001101100100100
31022102220201000001011
430302122121230210
5211110023334214
610150252112004
7664154612524
oct146232315444
938386630034
1013730683684
115906681973
1227b2465604
1313aa895303
1494380d684
15555685ac4
hex332699b24

13730683684 has 27 divisors (see below), whose sum is σ = 24646303731. Its totient is φ = 6693207360.

The previous prime is 13730683639. The next prime is 13730683699. The reversal of 13730683684 is 48638603731.

It is a happy number.

The square root of 13730683684 is 117178.

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 10758253284 + 2972430400 = 103722^2 + 54520^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9607882 + ... + 9609310.

Almost surely, 213730683684 is an apocalyptic number.

13730683684 is the 117178-th square number.

It is an amenable number.

13730683684 is a deficient number, since it is larger than the sum of its proper divisors (10915620047).

13730683684 is an frugal number, since it uses more digits than its factorization.

13730683684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2944 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 49.

Multiplying 13730683684 by its sum of digits (49), we get a square (672803500516 = 8202462).

The spelling of 13730683684 in words is "thirteen billion, seven hundred thirty million, six hundred eighty-three thousand, six hundred eighty-four".

Divisors: 1 2 4 41 82 164 1429 1681 2858 3362 5716 6724 58589 117178 234356 2042041 2402149 4084082 4804298 8168164 9608596 83723681 167447362 334894724 3432670921 6865341842 13730683684