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82787804790 = 23517347677691
BaseRepresentation
bin100110100011010001…
…0011010011001110110
321220200121212020020020
41031012202122121312
52324022134223130
6102010541550010
75660362505235
oct1150642323166
9256617766206
1082787804790
1132123615089
1214065575306
137a64882252
144015106b1c
1522480e9e10
hex134689a676

82787804790 has 128 divisors (see below), whose sum is σ = 211602129408. Its totient is φ = 20657694720.

The previous prime is 82787804789. The next prime is 82787804797. The reversal of 82787804790 is 9740878728.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82787804797) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119808345 + ... + 119809035.

It is an arithmetic number, because the mean of its divisors is an integer number (1653141636).

Almost surely, 282787804790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82787804790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105801064704).

82787804790 is an abundant number, since it is smaller than the sum of its proper divisors (128814324618).

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

82787804790 is a wasteful number, since it uses less digits than its factorization.

82787804790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1742.

The product of its (nonzero) digits is 12644352, while the sum is 60.

The spelling of 82787804790 in words is "eighty-two billion, seven hundred eighty-seven million, eight hundred four thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 347 510 677 691 694 1041 1354 1382 1735 2031 2073 2082 3385 3455 3470 4062 4146 5205 5899 6770 6910 10155 10365 10410 11509 11747 11798 17697 20310 20730 23018 23494 29495 34527 35241 35394 57545 58735 58990 69054 70482 88485 115090 117470 172635 176205 176970 234919 239777 345270 352410 467807 469838 479554 704757 719331 935614 1174595 1198885 1403421 1409514 1438662 2339035 2349190 2397770 2806842 3523785 3596655 3993623 4076209 4678070 7017105 7047570 7193310 7952719 7987246 8152418 11980869 12228627 14034210 15905438 19968115 20381045 23858157 23961738 24457254 39763595 39936230 40762090 47716314 59904345 61143135 79527190 119290785 119808690 122286270 162329029 238581570 324658058 486987087 811645145 973974174 1623290290 2434935435 2759593493 4869870870 5519186986 8278780479 13797967465 16557560958 27595934930 41393902395 82787804790