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2005070478 = 2337414347109
BaseRepresentation
bin111011110000010…
…1111001010001110
312011201220010121120
41313200233022032
513101244223403
6530543341410
7100454550345
oct16740571216
95151803546
102005070478
119398a0144
1247b5b1866
1325c531248
14150418b5c
15bb064e53
hex7782f28e

2005070478 has 128 divisors (see below), whose sum is σ = 4449392640. Its totient is φ = 600929280.

The previous prime is 2005070461. The next prime is 2005070533. The reversal of 2005070478 is 8740705002.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18395088 + ... + 18395196.

It is an arithmetic number, because the mean of its divisors is an integer number (34760880).

Almost surely, 22005070478 is an apocalyptic number.

2005070478 is an abundant number, since it is smaller than the sum of its proper divisors (2444322162).

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

2005070478 is a wasteful number, since it uses less digits than its factorization.

2005070478 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282.

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 2005070478 is about 44778.0133324381. The cubic root of 2005070478 is about 1260.9848850362.

The spelling of 2005070478 in words is "two billion, five million, seventy thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 37 41 43 47 74 82 86 94 109 111 123 129 141 218 222 246 258 282 327 654 1517 1591 1739 1763 1927 2021 3034 3182 3478 3526 3854 4033 4042 4469 4551 4687 4773 5123 5217 5289 5781 6063 8066 8938 9102 9374 9546 10246 10434 10578 11562 12099 12126 13407 14061 15369 24198 26814 28122 30738 65231 71299 74777 82861 130462 142598 149554 165353 165722 173419 189551 192167 195693 210043 213897 220289 224331 248583 330706 346838 379102 384334 391386 420086 427794 440578 448662 496059 497166 520257 568653 576501 630129 660867 992118 1040514 1137306 1153002 1260258 1321734 3065857 6131714 7110179 7771591 8150693 9031849 9197571 14220358 15543182 16301386 18063698 18395142 21330537 23314773 24452079 27095547 42661074 46629546 48904158 54191094 334178413 668356826 1002535239 2005070478