Search a number
-
+
30681737736 = 2331335310979
BaseRepresentation
bin11100100100110001…
…100010101000001000
32221012021002202201220
4130210301202220020
51000314011101421
622032304042040
72134215316266
oct344461425010
987167082656
1030681737736
111201504a751
125b43303320
132b7c6ac000
1416b0bcb436
15be88e03c6
hex724c62a08

30681737736 has 128 divisors (see below), whose sum is σ = 84668976000. Its totient is φ = 9261567744.

The previous prime is 30681737701. The next prime is 30681737743. The reversal of 30681737736 is 63773718603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2789095 + ... + 2800073.

It is an arithmetic number, because the mean of its divisors is an integer number (661476375).

Almost surely, 230681737736 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 30681737736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42334488000).

30681737736 is an abundant number, since it is smaller than the sum of its proper divisors (53987238264).

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

30681737736 is a wasteful number, since it uses less digits than its factorization.

30681737736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11080 (or 11050 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 51.

The spelling of 30681737736 in words is "thirty billion, six hundred eighty-one million, seven hundred thirty-seven thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 53 78 104 106 156 159 169 212 312 318 338 424 507 636 676 689 1014 1272 1352 1378 2028 2067 2197 2756 4056 4134 4394 5512 6591 8268 8788 8957 10979 13182 16536 17576 17914 21958 26364 26871 32937 35828 43916 52728 53742 65874 71656 87832 107484 116441 131748 142727 214968 232882 263496 285454 349323 428181 465764 570908 581887 698646 856362 931528 1141816 1163774 1397292 1712724 1745661 1855451 2327548 2794584 3425448 3491322 3710902 4655096 5566353 6982644 7421804 7564531 11132706 13965288 14843608 15129062 22265412 22693593 24120863 30258124 44530824 45387186 48241726 60516248 72362589 90774372 96483452 98338903 144725178 181548744 192966904 196677806 289450356 295016709 393355612 578900712 590033418 786711224 1180066836 1278405739 2360133672 2556811478 3835217217 5113622956 7670434434 10227245912 15340868868 30681737736