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82829991204 = 22345922712
BaseRepresentation
bin100110100100100001…
…1010101110100100100
321220210120020112010000
41031021003111310210
52324113434204304
6102015050101300
75661414210552
oct1151103256444
9256716215100
1082829991204
1132145409394
121407771a830
137a7053301c
14401a968bd2
15224bb7e939
hex13490d5d24

82829991204 has 135 divisors (see below), whose sum is σ = 221082019851. Its totient is φ = 27041875920.

The previous prime is 82829991173. The next prime is 82829991217. The reversal of 82829991204 is 40219992828.

The square root of 82829991204 is 287802.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 305645589 + ... + 305645859.

Almost surely, 282829991204 is an apocalyptic number.

82829991204 is the 287802-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82829991204

82829991204 is an abundant number, since it is smaller than the sum of its proper divisors (138252028647).

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

82829991204 is an equidigital number, since it uses as much as digits as its factorization.

82829991204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 82829991204 in words is "eighty-two billion, eight hundred twenty-nine million, nine hundred ninety-one thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 81 108 118 162 177 236 271 324 354 531 542 708 813 1062 1084 1593 1626 2124 2439 3186 3252 3481 4779 4878 6372 6962 7317 9558 9756 10443 13924 14634 15989 19116 20886 21951 29268 31329 31978 41772 43902 47967 62658 63956 73441 87804 93987 95934 125316 143901 146882 187974 191868 220323 281961 287802 293764 375948 431703 440646 563922 575604 660969 863406 881292 943351 1127844 1295109 1321938 1726812 1886702 1982907 2590218 2643876 2830053 3773404 3965814 4333019 5180436 5660106 5948721 7931628 8490159 8666038 11320212 11897442 12999057 16980318 17332076 23794884 25470477 25998114 33960636 38997171 50940954 51996228 76411431 77994342 101881908 116991513 152822862 155988684 233983026 255648121 305645724 350974539 467966052 511296242 701949078 766944363 1022592484 1403898156 1533888726 2300833089 3067777452 4601666178 6902499267 9203332356 13804998534 20707497801 27609997068 41414995602 82829991204