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2129690085 = 354771157271
BaseRepresentation
bin111111011110000…
…0111110111100101
312111102101110120120
41332330013313211
513330200040320
6551154352153
7103530031665
oct17674076745
95442343516
102129690085
119a3177756
124b528b659
1327c2b4a63
14162bb81a5
15c6e7e440
hex7ef07de5

2129690085 has 64 divisors (see below), whose sum is σ = 3564601344. Its totient is φ = 1085011200.

The previous prime is 2129690063. The next prime is 2129690089. The reversal of 2129690085 is 5800969212.

It is not a de Polignac number, because 2129690085 - 26 = 2129690021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2129690089) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7858500 + ... + 7858770.

It is an arithmetic number, because the mean of its divisors is an integer number (55696896).

Almost surely, 22129690085 is an apocalyptic number.

It is an amenable number.

2129690085 is a deficient number, since it is larger than the sum of its proper divisors (1434911259).

2129690085 is a wasteful number, since it uses less digits than its factorization.

2129690085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554.

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 2129690085 is about 46148.5653623165. The cubic root of 2129690085 is about 1286.5859457519.

The spelling of 2129690085 in words is "two billion, one hundred twenty-nine million, six hundred ninety thousand, eighty-five".

Divisors: 1 3 5 15 47 71 141 157 213 235 271 355 471 705 785 813 1065 1355 2355 3337 4065 7379 10011 11147 12737 16685 19241 22137 33441 36895 38211 42547 50055 55735 57723 63685 96205 110685 127641 167205 191055 212735 288615 523909 638205 904327 1571727 1999709 2619545 2712981 3020837 4521635 5999127 7858635 9062511 9998545 13564905 15104185 29995635 45312555 141979339 425938017 709896695 2129690085