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13214410036569 = 347482432
BaseRepresentation
bin1100000001001011100000…
…1101110101010101011001
31201210021200221210220210000
43000102320031311111121
53213001102432132234
644034341031443213
72532465254010000
oct300227015652531
951707627726700
1013214410036569
114235221a6a725
12159505b226509
1374b162530141
1433981bc37c37
1517db0cc36899
hexc04b8375559

13214410036569 has 75 divisors (see below), whose sum is σ = 23031475858853. Its totient is φ = 7550175388392.

The previous prime is 13214410036543. The next prime is 13214410036573. The reversal of 13214410036569 is 96563001441231.

The square root of 13214410036569 is 3635163.

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

13214410036569 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 44 + 10 + 0 + 36 + 569 = 666.

It is not a de Polignac number, because 13214410036569 - 29 = 13214410036057 is a prime.

It is a super-2 number, since 2×132144100365692 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13214410035569) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 1603102762 + ... + 1603111004.

Almost surely, 213214410036569 is an apocalyptic number.

13214410036569 is the 3635163-rd square number.

13214410036569 is the 1817582-nd centered octagonal number.

It is an amenable number.

13214410036569 is a deficient number, since it is larger than the sum of its proper divisors (9817065822284).

13214410036569 is an frugal number, since it uses more digits than its factorization.

13214410036569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16526 (or 8253 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 13214410036569 in words is "thirteen trillion, two hundred fourteen billion, four hundred ten million, thirty-six thousand, five hundred sixty-nine".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 343 441 567 1029 1323 2401 3087 3969 7203 8243 9261 21609 24729 27783 57701 64827 74187 173103 194481 222561 403907 519309 667683 1211721 1557927 2827349 3635163 4673781 8482047 10905489 19791443 25446141 32716467 59374329 67947049 76338423 178122987 203841147 229015269 475629343 534368961 611523441 1426888029 1603106883 1834570323 3329405401 4280664087 5503710969 9988216203 12841992261 23305837807 29964648609 38525976783 69917513421 89893945827 163140864649 209752540263 269681837481 489422593947 629257620789 1468267781841 1887772862367 4404803345523 13214410036569