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235616072409 = 3237243732
BaseRepresentation
bin1101101101101111001…
…1111111001011011001
3211112011111012121220100
43123123303333023121
512330020203304114
6300123542050013
723010533366544
oct3333363771331
9745144177810
10235616072409
1190a19148593
12397b7419909
13192ac078233
14b59235985b
1561e0149909
hex36dbcff2d9

235616072409 has 27 divisors (see below), whose sum is σ = 349861157373. Its totient is φ = 152797097952.

The previous prime is 235616072407. The next prime is 235616072413. The reversal of 235616072409 is 904270616532.

The square root of 235616072409 is 485403.

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

235616072409 is a `hidden beast` number, since 2 + 3 + 5 + 616 + 0 + 7 + 24 + 0 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 60222632409 + 175393440000 = 245403^2 + 418800^2 .

It is not a de Polignac number, because 235616072409 - 21 = 235616072407 is a prime.

It is not an unprimeable number, because it can be changed into a prime (235616072407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 53877547 + ... + 53881919.

Almost surely, 2235616072409 is an apocalyptic number.

235616072409 is the 485403-rd square number.

235616072409 is the 242702-nd centered octagonal number.

It is an amenable number.

235616072409 is a deficient number, since it is larger than the sum of its proper divisors (114245084964).

235616072409 is an frugal number, since it uses more digits than its factorization.

235616072409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8826 (or 4413 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 235616072409 in words is "two hundred thirty-five billion, six hundred sixteen million, seventy-two thousand, four hundred nine".

Divisors: 1 3 9 37 111 333 1369 4107 4373 12321 13119 39357 161801 485403 1456209 5986637 17959911 19123129 53879733 57369387 172108161 707555773 2122667319 6368001957 26179563601 78538690803 235616072409