Search a number
-
+
36305616030 = 235412898089
BaseRepresentation
bin100001110011111110…
…111011110010011110
310110201012102101102120
4201303332323302132
51043323214203110
624402323203410
72423454434025
oct416376736236
9113635371376
1036305616030
1114440634752
127052816566
133567876c48
141a85a8d8bc
15e274ce870
hex873fbbc9e

36305616030 has 96 divisors (see below), whose sum is σ = 90325173600. Its totient is φ = 9338081280.

The previous prime is 36305616001. The next prime is 36305616103. The reversal of 36305616030 is 3061650363.

It is a junction number, because it is equal to n+sod(n) for n = 36305615982 and 36305616000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4484226 + ... + 4492314.

It is an arithmetic number, because the mean of its divisors is an integer number (940887225).

Almost surely, 236305616030 is an apocalyptic number.

36305616030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36305616030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45162586800).

36305616030 is an abundant number, since it is smaller than the sum of its proper divisors (54019557570).

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

36305616030 is a wasteful number, since it uses less digits than its factorization.

36305616030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8270 (or 8229 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 33.

The spelling of 36305616030 in words is "thirty-six billion, three hundred five million, six hundred sixteen thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 89 123 178 205 246 267 410 445 534 615 890 1230 1335 1681 2670 3362 3649 5043 7298 8089 8405 10086 10947 16178 16810 18245 21894 24267 25215 36490 40445 48534 50430 54735 80890 109470 121335 149609 242670 299218 331649 448827 663298 719921 748045 897654 994947 1439842 1496090 1658245 1989894 2159763 2244135 3316490 3599605 4319526 4488270 4974735 7199210 9949470 10798815 13597609 21597630 27195218 29516761 40792827 59033522 67988045 81585654 88550283 135976090 147583805 177100566 203964135 295167610 407928270 442751415 885502830 1210187201 2420374402 3630561603 6050936005 7261123206 12101872010 18152808015 36305616030