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1083287134328 = 2371792112392143
BaseRepresentation
bin11111100001110001111…
…00011110000001111000
310211120011010212020001212
433300320330132001320
5120222033001244303
62145353310502252
7141156602466440
oct17607074360170
93746133766055
101083287134328
11388468389713
12155b46804988
137b1cc429949
143a6079ad120
151d2a35e5ad8
hexfc38f1e078

1083287134328 has 128 divisors (see below), whose sum is σ = 2356273152000. Its totient is φ = 457348187520.

The previous prime is 1083287134271. The next prime is 1083287134361. The reversal of 1083287134328 is 8234317823801.

It is a super-2 number, since 2×10832871343282 (a number of 25 digits) contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 505499225 + ... + 505501367.

It is an arithmetic number, because the mean of its divisors is an integer number (18408384000).

Almost surely, 21083287134328 is an apocalyptic number.

It is an amenable number.

1083287134328 is an abundant number, since it is smaller than the sum of its proper divisors (1272986017672).

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

1083287134328 is a wasteful number, since it uses less digits than its factorization.

1083287134328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785 (or 2781 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 50.

The spelling of 1083287134328 in words is "one trillion, eighty-three billion, two hundred eighty-seven million, one hundred thirty-four thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 56 179 211 239 358 422 478 716 844 956 1253 1432 1477 1673 1688 1912 2143 2506 2954 3346 4286 5012 5908 6692 8572 10024 11816 13384 15001 17144 30002 37769 42781 50429 60004 75538 85562 100858 120008 151076 171124 201716 264383 299467 302152 342248 353003 383597 403432 452173 512177 528766 598934 706006 767194 904346 1024354 1057532 1197868 1412012 1534388 1808692 2048708 2115064 2395736 2685179 2824024 3068776 3165211 3585239 3617384 4097416 5370358 6330422 7170478 9026791 10740716 12660844 14340956 18053582 21481432 25321688 28681912 36107164 63187537 72214328 80938967 91679683 108069347 126375074 161877934 183359366 216138694 252750148 323755868 366718732 432277388 505500296 566572769 641757781 647511736 733437464 756485429 864554776 1133145538 1283515562 1512970858 2266291076 2567031124 3025941716 4532582152 5134062248 6051883432 19344413113 38688826226 77377652452 135410891791 154755304904 270821783582 541643567164 1083287134328