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3682485612 = 22331317315161
BaseRepresentation
bin1101101101111110…
…0100010101101100
3100111122020122121000
43123133210111230
530020204014422
61405224240300
7160153416441
oct33337442554
910448218530
103682485612
11161a737a43
12869310090
13468c00990
1426d1019c8
15168456cac
hexdb7e456c

3682485612 has 96 divisors (see below), whose sum is σ = 10341696960. Its totient is φ = 1126448640.

The previous prime is 3682485607. The next prime is 3682485613. The reversal of 3682485612 is 2165842863.

3682485612 is a `hidden beast` number, since 3 + 6 + 8 + 24 + 8 + 5 + 612 = 666.

Its product of digits (552960) is a multiple of the sum of its prime factors (15360).

It is not an unprimeable number, because it can be changed into a prime (3682485613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235312 + ... + 250472.

It is an arithmetic number, because the mean of its divisors is an integer number (107726010).

Almost surely, 23682485612 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 3682485612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5170848480).

3682485612 is an abundant number, since it is smaller than the sum of its proper divisors (6659211348).

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

3682485612 is a wasteful number, since it uses less digits than its factorization.

3682485612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15360 (or 15352 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 3682485612 is about 60683.4871443624. The cubic root of 3682485612 is about 1544.2360479893.

The spelling of 3682485612 in words is "three billion, six hundred eighty-two million, four hundred eighty-five thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 173 234 346 351 468 519 692 702 1038 1404 1557 2076 2249 3114 4498 4671 6228 6747 8996 9342 13494 15161 18684 20241 26988 30322 40482 45483 60644 60723 80964 90966 121446 136449 181932 197093 242892 272898 394186 409347 545796 591279 788372 818694 1182558 1637388 1773837 2365116 2622853 3547674 5245706 5321511 7095348 7868559 10491412 10643022 15737118 21286044 23605677 31474236 34097089 47211354 68194178 70817031 94422708 102291267 136388356 141634062 204582534 283268124 306873801 409165068 613747602 920621403 1227495204 1841242806 3682485612