Search a number
-
+
36083082080 = 2551734938011
BaseRepresentation
bin100001100110101110…
…000010001101100000
310110010200200111020102
4201212232002031200
51042344232111310
624324253401532
72415113065013
oct414656021540
9113120614212
1036083082080
1114336a606a1
126bb01992a8
133530730056
141a642c337a
15e12bc38a5
hex866b82360

36083082080 has 96 divisors (see below), whose sum is σ = 90521776800. Its totient is φ = 13544939520.

The previous prime is 36083082071. The next prime is 36083082109. The reversal of 36083082080 is 8028038063.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 930275 + ... + 968285.

It is an arithmetic number, because the mean of its divisors is an integer number (942935175).

Almost surely, 236083082080 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 36083082080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45260888400).

36083082080 is an abundant number, since it is smaller than the sum of its proper divisors (54438694720).

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

36083082080 is a wasteful number, since it uses less digits than its factorization.

36083082080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38392 (or 38384 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The spelling of 36083082080 in words is "thirty-six billion, eighty-three million, eighty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 349 544 680 698 1360 1396 1745 2720 2792 3490 5584 5933 6980 11168 11866 13960 23732 27920 29665 38011 47464 55840 59330 76022 94928 118660 152044 189856 190055 237320 304088 380110 474640 608176 646187 760220 949280 1216352 1292374 1520440 2584748 3040880 3230935 5169496 6081760 6461870 10338992 12923740 13265839 20677984 25847480 26531678 51694960 53063356 66329195 103389920 106126712 132658390 212253424 225519263 265316780 424506848 451038526 530633560 902077052 1061267120 1127596315 1804154104 2122534240 2255192630 3608308208 4510385260 7216616416 9020770520 18041541040 36083082080