Search a number
-
+
36930293194032 = 2433712212398543
BaseRepresentation
bin10000110010110100000010…
…00000011101110100110000
311211202111112122000002121000
420121122001000131310300
514320031220024202112
6210313313102002000
710531061043522030
oct1031320100356460
9154674478002530
1036930293194032
111084905a812347
124185408576300
13177b6862a7214
149196158cb8c0
154409959ce7dc
hex21968101dd30

36930293194032 has 80 divisors (see below), whose sum is σ = 121146993556480. Its totient is φ = 10551512340288.

The previous prime is 36930293194021. The next prime is 36930293194057. The reversal of 36930293194032 is 23049139203963.

36930293194032 is a `hidden beast` number, since 3 + 69 + 302 + 93 + 194 + 0 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 36930293194032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6106196248 + ... + 6106202295.

It is an arithmetic number, because the mean of its divisors is an integer number (1514337419456).

Almost surely, 236930293194032 is an apocalyptic number.

It is an amenable number.

36930293194032 is an abundant number, since it is smaller than the sum of its proper divisors (84216700362448).

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

36930293194032 is a wasteful number, since it uses less digits than its factorization.

36930293194032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12212398567 (or 12212398555 counting only the distinct ones).

The product of its (nonzero) digits is 5668704, while the sum is 54.

The spelling of 36930293194032 in words is "thirty-six trillion, nine hundred thirty billion, two hundred ninety-three million, one hundred ninety-four thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 12212398543 24424797086 36637195629 48849594172 73274391258 85486789801 97699188344 109911586887 146548782516 170973579602 195398376688 219823173774 256460369403 293097565032 329734760661 341947159204 439646347548 512920738806 586195130064 659469521322 683894318408 769381108209 879292695096 1025841477612 1318939042644 1367788636816 1538762216418 1758585390192 2051682955224 2308143324627 2637878085288 3077524432836 4103365910448 4616286649254 5275756170576 6155048865672 9232573298508 12310097731344 18465146597016 36930293194032