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999960000831 = 3211295315434259
BaseRepresentation
bin11101000110100100100…
…00101011100100111111
310112121001221011020221100
432203102100223210333
5112340404230011311
62043213021104143
7132146640523251
oct16432220534477
93477057136840
10999960000831
11356098395a30
121419706b8053
13733acc024ac
1436580dd3cd1
151b027eb4a56
hexe8d242b93f

999960000831 has 96 divisors (see below), whose sum is σ = 1662250636800. Its totient is φ = 573591432960.

The previous prime is 999960000797. The next prime is 999960000841. The reversal of 999960000831 is 138000069999.

It is not a de Polignac number, because 999960000831 - 223 = 999951612223 is a prime.

It is a super-2 number, since 2×9999600008312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (999960000841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 234785380 + ... + 234789638.

It is an arithmetic number, because the mean of its divisors is an integer number (17315110800).

Almost surely, 2999960000831 is an apocalyptic number.

999960000831 is a deficient number, since it is larger than the sum of its proper divisors (662290635969).

999960000831 is a wasteful number, since it uses less digits than its factorization.

999960000831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5901 (or 5898 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 54.

The spelling of 999960000831 in words is "nine hundred ninety-nine billion, nine hundred sixty million, eight hundred thirty-one", and thus it is an aban number.

Divisors: 1 3 9 11 29 33 53 87 99 159 261 319 477 583 957 1537 1543 1749 2871 4259 4611 4629 5247 12777 13833 13887 16907 16973 38331 44747 46849 50721 50919 81779 123511 134241 140547 152163 152757 225727 245337 370533 402723 421641 492217 677181 736011 899569 1111599 1358621 1476651 2031543 2371591 2482997 2698707 4075863 4429953 6546083 6571637 7114773 7448991 8096121 12227589 19638249 19714911 21344319 22346973 26087501 58914747 59144733 72006913 72288007 78262503 190577473 216020739 216864021 234787509 348296761 571732419 648062217 650592063 1044890283 1715197257 2096352203 3134670849 3831264371 6289056609 10100606069 11493793113 18867169827 30301818207 34481379339 90905454621 111106666759 333320000277 999960000831