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805969826820 = 2232533720116607
BaseRepresentation
bin10111011101001111000…
…10111001010000000100
32212001100102102100211200
423232213202321100010
5101201111233424240
61414131334302500
7112141453330644
oct13564742712004
92761312370750
10805969826820
1129089aa56a74
121102517b7a30
135b005a0c692
142b01b15c524
1515e72469930
hexbba78b9404

805969826820 has 144 divisors (see below), whose sum is σ = 2453620286208. Its totient is φ = 214148551680.

The previous prime is 805969826791. The next prime is 805969826899. The reversal of 805969826820 is 28628969508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121983957 + ... + 121990563.

Almost surely, 2805969826820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 805969826820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226810143104).

805969826820 is an abundant number, since it is smaller than the sum of its proper divisors (1647650459388).

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

805969826820 is a wasteful number, since it uses less digits than its factorization.

805969826820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8970 (or 8965 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 805969826820 in words is "eight hundred five billion, nine hundred sixty-nine million, eight hundred twenty-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 337 674 1011 1348 1685 2011 2022 3033 3370 4022 4044 5055 6033 6066 6607 6740 8044 10055 10110 12066 12132 13214 15165 18099 19821 20110 20220 24132 26428 30165 30330 33035 36198 39642 40220 59463 60330 60660 66070 72396 79284 90495 99105 118926 120660 132140 180990 198210 237852 297315 361980 396420 594630 677707 1189260 1355414 2033121 2226559 2710828 3388535 4066242 4453118 6099363 6679677 6777070 8132484 8906236 10165605 11132795 12198726 13286677 13359354 13554140 20039031 20331210 22265590 24397452 26573354 26718708 30496815 33398385 39860031 40078062 40662420 44531180 53146708 60993630 66433385 66796770 79720062 80156124 100195155 119580093 121987260 132866770 133593540 159440124 199300155 200390310 239160186 265733540 398600310 400780620 478320372 597900465 797200620 1195800930 2391601860 4477610149 8955220298 13432830447 17910440596 22388050745 26865660894 40298491341 44776101490 53731321788 67164152235 80596982682 89552202980 134328304470 161193965364 201492456705 268656608940 402984913410 805969826820