Search a number
-
+
2117066662172 = 2271140916805851
BaseRepresentation
bin11110110011101011000…
…000011010000100011100
321111101112000102110102202
4132303223000122010130
5234141223031142142
64300322245511032
7305644612500110
oct36635300320434
97441460373382
102117066662172
1174692aa36870
122a2375412478
1312483bb07687
14746763c3740
153a10a6ab032
hex1eceb01a11c

2117066662172 has 48 divisors (see below), whose sum is σ = 4630348343040. Its totient is φ = 822814416000.

The previous prime is 2117066662169. The next prime is 2117066662177. The reversal of 2117066662172 is 2712666607112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117066662177) 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 15 ways as a sum of consecutive naturals, for example, 8276954 + ... + 8528897.

It is an arithmetic number, because the mean of its divisors is an integer number (96465590480).

Almost surely, 22117066662172 is an apocalyptic number.

2117066662172 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2117066662172 is an abundant number, since it is smaller than the sum of its proper divisors (2513281680868).

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

2117066662172 is a wasteful number, since it uses less digits than its factorization.

2117066662172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16806282 (or 16806280 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 47.

The spelling of 2117066662172 in words is "two trillion, one hundred seventeen billion, sixty-six million, six hundred sixty-two thousand, one hundred seventy-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 409 818 1636 2863 4499 5726 8998 11452 17996 31493 62986 125972 16805851 33611702 67223404 117640957 184864361 235281914 369728722 470563828 739457444 1294050527 2588101054 5176202108 6873593059 13747186118 27494372236 48115151413 75609523649 96230302826 151219047298 192460605652 302438094596 529266665543 1058533331086 2117066662172