Search a number
-
+
212990170080768 = 293373747715549
BaseRepresentation
bin110000011011011010100011…
…011011011010011000000000
31000221010122212011101221200020
4300123122203123122120000
5210404112332020041033
62032554200000453440
762602013653210443
oct6033324333323000
91027118764357606
10212990170080768
1161957695406253
121ba7ab0901a280
1391acb6b569b32
143a84aca31b65a
15199556a7626b3
hexc1b6a36da600

212990170080768 has 80 divisors (see below), whose sum is σ = 582754777162800. Its totient is φ = 69077892980736.

The previous prime is 212990170080767. The next prime is 212990170080769. The reversal of 212990170080768 is 867080071099212.

It is an interprime number because it is at equal distance from previous prime (212990170080767) and next prime (212990170080769).

It is a super-3 number, since 3×2129901700807683 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212990170080767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1873800943 + ... + 1873914606.

It is an arithmetic number, because the mean of its divisors is an integer number (7284434714535).

Almost surely, 2212990170080768 is an apocalyptic number.

It is an amenable number.

212990170080768 is an abundant number, since it is smaller than the sum of its proper divisors (369764607082032).

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

212990170080768 is an equidigital number, since it uses as much as digits as its factorization.

212990170080768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3747715607 (or 3747715591 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 60.

The spelling of 212990170080768 in words is "two hundred twelve trillion, nine hundred ninety billion, one hundred seventy million, eighty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 512 592 768 888 1184 1536 1776 2368 3552 4736 7104 9472 14208 18944 28416 56832 3747715549 7495431098 11243146647 14990862196 22486293294 29981724392 44972586588 59963448784 89945173176 119926897568 138665475313 179890346352 239853795136 277330950626 359780692704 415996425939 479707590272 554661901252 719561385408 831992851878 959415180544 1109323802504 1439122770816 1663985703756 1918830361088 2218647605008 2878245541632 3327971407512 4437295210016 5756491083264 6655942815024 8874590420032 13311885630048 17749180840064 26623771260096 35498361680128 53247542520192 70996723360256 106495085040384 212990170080768