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4160112534 = 234172365677
BaseRepresentation
bin1111011111110110…
…0100011110010110
3101201220222121120000
43313331210132112
532004442100114
61524445352130
7205043241654
oct36775443626
911656877500
104160112534
111845303136
12981268646
13513b51466
142b6711dd4
15195350e09
hexf7f64796

4160112534 has 80 divisors (see below), whose sum is σ = 10299361248. Its totient is φ = 1248369408.

The previous prime is 4160112521. The next prime is 4160112571. The reversal of 4160112534 is 4352110614.

It is a happy number.

4160112534 is a `hidden beast` number, since 4 + 1 + 601 + 1 + 2 + 53 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4160112498 and 4160112507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30504 + ... + 96180.

Almost surely, 24160112534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4160112534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5149680624).

4160112534 is an abundant number, since it is smaller than the sum of its proper divisors (6139248714).

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

4160112534 is a wasteful number, since it uses less digits than its factorization.

4160112534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65731 (or 65722 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4160112534 is about 64498.9343632901. The cubic root of 4160112534 is about 1608.3048054956.

The spelling of 4160112534 in words is "four billion, one hundred sixty million, one hundred twelve thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 23 27 34 46 51 54 69 81 102 138 153 162 207 306 391 414 459 621 782 918 1173 1242 1377 1863 2346 2754 3519 3726 7038 10557 21114 31671 63342 65677 131354 197031 394062 591093 1116509 1182186 1510571 1773279 2233018 3021142 3349527 3546558 4531713 5319837 6699054 9063426 10048581 10639674 13595139 20097162 25679707 27190278 30145743 40785417 51359414 60291486 77039121 81570834 90437229 122356251 154078242 180874458 231117363 244712502 462234726 693352089 1386704178 2080056267 4160112534