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2005140794415 = 3511175503129901
BaseRepresentation
bin11101001011011011101…
…101000110110000101111
321002200121201011021011020
4131023123231012300233
5230323012020410130
64133052102025223
7264603154351623
oct35133355066057
97080551137136
102005140794415
11703414782810
12284739718213
1311711261aa65
146d099521183
1537259495e10
hex1d2dbb46c2f

2005140794415 has 64 divisors (see below), whose sum is σ = 3706459471872. Its totient is φ = 914828544000.

The previous prime is 2005140794407. The next prime is 2005140794431. The reversal of 2005140794415 is 5144970415002.

It is not a de Polignac number, because 2005140794415 - 23 = 2005140794407 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15370965 + ... + 15500865.

It is an arithmetic number, because the mean of its divisors is an integer number (57913429248).

Almost surely, 22005140794415 is an apocalyptic number.

2005140794415 is a deficient number, since it is larger than the sum of its proper divisors (1701318677457).

2005140794415 is a wasteful number, since it uses less digits than its factorization.

2005140794415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135440.

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 2005140794415 in words is "two trillion, five billion, one hundred forty million, seven hundred ninety-four thousand, four hundred fifteen".

Divisors: 1 3 5 11 15 17 33 51 55 85 165 187 255 561 935 2805 5503 16509 27515 60533 82545 93551 129901 181599 280653 302665 389703 467755 649505 907995 1029061 1403265 1428911 1948515 2208317 3087183 4286733 5145305 6624951 7144555 11041585 15435915 21433665 24291487 33124755 72874461 121457435 364372305 714845203 2144535609 3574226015 7863297233 10722678045 12152368451 23589891699 36457105353 39316486165 60761842255 117949458495 133676052961 182285526765 401028158883 668380264805 2005140794415