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1005641420466 = 23192788358897
BaseRepresentation
bin11101010001001001110…
…01100100111010110010
310120010201212202021111210
432220210321210322302
5112434023200423331
62045552453420550
7132440506015014
oct16504471447262
93503655667453
101005641420466
11358543401661
12142a9733a756
1373aa6c96267
143695d7941b4
151b25bb6d446
hexea24e64eb2

1005641420466 has 48 divisors (see below), whose sum is σ = 2123016575904. Its totient is φ = 317525298048.

The previous prime is 1005641420423. The next prime is 1005641420473. The reversal of 1005641420466 is 6640241465001.

1005641420466 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10056414204662 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17045130 + ... + 17104026.

It is an arithmetic number, because the mean of its divisors is an integer number (44229511998).

Almost surely, 21005641420466 is an apocalyptic number.

1005641420466 is an abundant number, since it is smaller than the sum of its proper divisors (1117375155438).

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

1005641420466 is a wasteful number, since it uses less digits than its factorization.

1005641420466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66823 (or 66804 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

Adding to 1005641420466 its reverse (6640241465001), we get a palindrome (7645882885467).

The spelling of 1005641420466 in words is "one trillion, five billion, six hundred forty-one million, four hundred twenty thousand, four hundred sixty-six".

Divisors: 1 2 3 6 19 38 57 114 361 722 1083 2166 7883 15766 23649 47298 58897 117794 149777 176691 299554 353382 449331 898662 1119043 2238086 2845763 3357129 5691526 6714258 8537289 17074578 21261817 42523634 63785451 127570902 464285051 928570102 1392855153 2785710306 8821415969 17642831938 26464247907 52928495814 167606903411 335213806822 502820710233 1005641420466