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4143064536 = 23321329315107
BaseRepresentation
bin1111011011110010…
…0010010111011000
3101200201220111002200
43312330202113120
531441111031121
61523040130200
7204445316232
oct36674422730
911621814080
104143064536
111836719786
12977606960
135104628a0
142b4355252
15193ad4a26
hexf6f225d8

4143064536 has 96 divisors (see below), whose sum is σ = 12125982960. Its totient is φ = 1270354176.

The previous prime is 4143064487. The next prime is 4143064609. The reversal of 4143064536 is 6354603414.

4143064536 is a `hidden beast` number, since 4 + 1 + 4 + 3 + 0 + 645 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4143064536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266695 + ... + 281801.

Almost surely, 24143064536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4143064536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6062991480).

4143064536 is an abundant number, since it is smaller than the sum of its proper divisors (7982918424).

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

4143064536 is a wasteful number, since it uses less digits than its factorization.

4143064536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15425 (or 15418 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 4143064536 is about 64366.6414845454. The cubic root of 4143064536 is about 1606.1048717540.

The spelling of 4143064536 in words is "four billion, one hundred forty-three million, sixty-four thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 293 312 468 586 879 936 1172 1758 2344 2637 3516 3809 5274 7032 7618 10548 11427 15107 15236 21096 22854 30214 30472 34281 45321 45708 60428 68562 90642 91416 120856 135963 137124 181284 196391 271926 274248 362568 392782 543852 589173 785564 1087704 1178346 1571128 1767519 2356692 3535038 4426351 4713384 7070076 8852702 13279053 14140152 17705404 26558106 35410808 39837159 53116212 57542563 79674318 106232424 115085126 159348636 172627689 230170252 318697272 345255378 460340504 517883067 690510756 1035766134 1381021512 2071532268 4143064536