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2005706662212 = 22311173191280103
BaseRepresentation
bin11101001011111101011…
…011101110000101000100
321002202002010221022211210
4131023331123232011010
5230330141401142322
64133224154331420
7264623165222151
oct35137533560504
97082063838753
102005706662212
11703685138650
12284877129b70
131171a2925886
146d110741228
153728dec070c
hex1d2fd6ee144

2005706662212 has 96 divisors (see below), whose sum is σ = 5407468222464. Its totient is φ = 571856243200.

The previous prime is 2005706662189. The next prime is 2005706662231. The reversal of 2005706662212 is 2122666075002.

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 31 ways as a sum of consecutive naturals, for example, 7020553 + ... + 7300655.

It is an arithmetic number, because the mean of its divisors is an integer number (56327793984).

Almost surely, 22005706662212 is an apocalyptic number.

2005706662212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005706662212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703734111232).

2005706662212 is an abundant number, since it is smaller than the sum of its proper divisors (3401761560252).

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

2005706662212 is a wasteful number, since it uses less digits than its factorization.

2005706662212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283329 (or 283327 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 2005706662212 in words is "two trillion, five billion, seven hundred six million, six hundred sixty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 2244 3191 6382 9573 12764 19146 35101 38292 54247 70202 105303 108494 140404 162741 210606 216988 280103 325482 421212 560206 596717 650964 840309 1120412 1193434 1680618 1790151 2386868 3081133 3361236 3580302 4761751 6162266 7160604 9243399 9523502 12324532 14285253 18486798 19047004 28570506 36973596 52379261 57141012 104758522 157137783 209517044 314275566 628551132 893808673 1787617346 2681426019 3575234692 5362852038 9831895403 10725704076 15194747441 19663790806 29495686209 30389494882 39327581612 45584242323 58991372418 60778989764 91168484646 117982744836 167142221851 182336969292 334284443702 501426665553 668568887404 1002853331106 2005706662212