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13648314276 = 2232194712
BaseRepresentation
bin11001011011000000…
…01011111110100100
31022020011201012110100
430231200023332210
5210422432024101
610134150424100
7662134520502
oct145540137644
938204635410
1013648314276
115874132583
12278a962030
1313967b560c
149368cb672
1554d314e86
hex32d80bfa4

13648314276 has 27 divisors (see below), whose sum is σ = 34501677483. Its totient is φ = 4549204440.

The previous prime is 13648314203. The next prime is 13648314331. The reversal of 13648314276 is 67241384631.

The square root of 13648314276 is 116826.

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

13648314276 is a `hidden beast` number, since 1 + 3 + 64 + 8 + 314 + 276 = 666.

13648314276 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 691221 + ... + 710691.

Almost surely, 213648314276 is an apocalyptic number.

13648314276 is the 116826-th square number.

It is an amenable number.

13648314276 is an abundant number, since it is smaller than the sum of its proper divisors (20853363207).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13648314276 is an frugal number, since it uses more digits than its factorization.

13648314276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38952 (or 19476 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 13648314276 in words is "thirteen billion, six hundred forty-eight million, three hundred fourteen thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 19471 38942 58413 77884 116826 175239 233652 350478 700956 379119841 758239682 1137359523 1516479364 2274719046 3412078569 4549438092 6824157138 13648314276