Search a number
-
+
80779109685690 = 235131096832782193
BaseRepresentation
bin10010010111011111011010…
…001000110101100110111010
3101121000102000001011211201210
4102113133122020311212322
541041441104034420230
6443445224413023550
723005045433150043
oct2227373210654672
9347012001154653
1080779109685690
1123814256568569
129087648484bb6
13360c58bb4c060
1415d3a306b98ca
159513b3c47eb0
hex4977da2359ba

80779109685690 has 128 divisors (see below), whose sum is σ = 211006934772480. Its totient is φ = 19672812859392.

The previous prime is 80779109685683. The next prime is 80779109685713. The reversal of 80779109685690 is 9658690197708.

It is a super-2 number, since 2×807791096856902 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27643234 + ... + 30425426.

It is an arithmetic number, because the mean of its divisors is an integer number (1648491677910).

Almost surely, 280779109685690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80779109685690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105503467386240).

80779109685690 is an abundant number, since it is smaller than the sum of its proper divisors (130227825086790).

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

80779109685690 is a wasteful number, since it uses less digits than its factorization.

80779109685690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783008.

The product of its (nonzero) digits is 411505920, while the sum is 75.

The spelling of 80779109685690 in words is "eighty trillion, seven hundred seventy-nine billion, one hundred nine million, six hundred eighty-five thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 109 130 195 218 327 390 545 654 683 1090 1366 1417 1635 2049 2834 3270 3415 4098 4251 6830 7085 8502 8879 10245 14170 17758 20490 21255 26637 42510 44395 53274 74447 88790 133185 148894 223341 266370 372235 446682 744470 967811 1116705 1935622 2233410 2782193 2903433 4839055 5564386 5806866 8346579 9678110 13910965 14517165 16693158 27821930 29034330 36168509 41732895 72337018 83465790 108505527 180842545 217011054 303259037 361685090 542527635 606518074 909777111 1085055270 1516295185 1819554222 1900237819 3032590370 3800475638 3942367481 4548885555 5700713457 7884734962 9097771110 9501189095 11401426914 11827102443 19002378190 19711837405 23654204886 24703091647 28503567285 39423674810 49406183294 57007134570 59135512215 74109274941 118271024430 123515458235 148218549882 207125922271 247030916470 370546374705 414251844542 621377766813 741092749410 1035629611355 1242755533626 2071259222710 2692636989523 3106888834065 5385273979046 6213777668130 8077910968569 13463184947615 16155821937138 26926369895230 40389554842845 80779109685690