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2026856200329 = 322324724392
BaseRepresentation
bin11101011111101010000…
…010110011100010001001
321011202200002112011221100
4131133222002303202021
5231202000141402304
64151042550332013
7266302246304142
oct35375202634211
97152602464840
102026856200329
11711648537674
1228899a05a009
1311919350727c
147015957cac9
1537acab0a439
hex1d7ea0b3889

2026856200329 has 81 divisors (see below), whose sum is σ = 3134147906253. Its totient is φ = 1262106744624.

The previous prime is 2026856200273. The next prime is 2026856200519. The reversal of 2026856200329 is 9230026586202.

The square root of 2026856200329 is 1423677.

It is a perfect power (a square), and thus also a powerful number.

2026856200329 is a `hidden beast` number, since 2 + 0 + 2 + 68 + 562 + 0 + 0 + 3 + 29 = 666.

It is not a de Polignac number, because 2026856200329 - 29 = 2026856199817 is a prime.

It is a super-2 number, since 2×20268562003292 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2026856200129) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4616984292 + ... + 4616984730.

Almost surely, 22026856200329 is an apocalyptic number.

2026856200329 is the 1423677-th square number.

2026856200329 is the 711839-th centered octagonal number.

It is an amenable number.

2026856200329 is a deficient number, since it is larger than the sum of its proper divisors (1107291705924).

2026856200329 is an frugal number, since it uses more digits than its factorization.

2026856200329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 2026856200329 in words is "two trillion, twenty-six billion, eight hundred fifty-six million, two hundred thousand, three hundred twenty-nine".

Divisors: 1 3 9 23 47 69 141 207 423 439 529 1081 1317 1587 2209 3243 3951 4761 6627 9729 10097 19881 20633 24863 30291 50807 61899 74589 90873 152421 185697 192721 223767 232231 457263 474559 578163 696693 969751 1168561 1423677 1734489 2090079 2909253 3505683 4271031 4432583 8727759 9057887 10517049 10914857 13297749 22304273 27173661 32744571 39893247 66912819 81520983 98233713 101949409 200738457 208331401 305848227 425720689 512998279 624994203 917544681 1277162067 1538994837 1874982609 3831486201 4616984511 4791622223 9791575847 14374866669 29374727541 43124600007 88124182623 225206244481 675618733443 2026856200329