Search a number
-
+
82639585776 = 24311433639869
BaseRepresentation
bin100110011110110110…
…1000000000111110000
321220022021221220222010
41030331231000013300
52323221213221101
6101544125042520
75653612613646
oct1147555000760
9256267856863
1082639585776
1132057989a30
12140239b6440
137a3cc57ba7
143ddd563196
15223a0bd2d6
hex133db401f0

82639585776 has 80 divisors (see below), whose sum is σ = 238309568640. Its totient is φ = 24459912960.

The previous prime is 82639585747. The next prime is 82639585783. The reversal of 82639585776 is 67758593628.

It is a super-2 number, since 2×826395857762 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1797231 + ... + 1842638.

It is an arithmetic number, because the mean of its divisors is an integer number (2978869608).

Almost surely, 282639585776 is an apocalyptic number.

82639585776 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

82639585776 is an abundant number, since it is smaller than the sum of its proper divisors (155669982864).

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

82639585776 is a wasteful number, since it uses less digits than its factorization.

82639585776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3639934 (or 3639928 counting only the distinct ones).

The product of its digits is 152409600, while the sum is 66.

The spelling of 82639585776 in words is "eighty-two billion, six hundred thirty-nine million, five hundred eighty-five thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 43 44 48 66 86 88 129 132 172 176 258 264 344 473 516 528 688 946 1032 1419 1892 2064 2838 3784 5676 7568 11352 22704 3639869 7279738 10919607 14559476 21839214 29118952 40038559 43678428 58237904 80077118 87356856 120115677 156514367 160154236 174713712 240231354 313028734 320308472 469543101 480462708 626057468 640616944 939086202 960925416 1252114936 1721658037 1878172404 1921850832 2504229872 3443316074 3756344808 5164974111 6886632148 7512689616 10329948222 13773264296 20659896444 27546528592 41319792888 82639585776