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82498775076 = 223121972
BaseRepresentation
bin100110011010101001…
…1110110100000100100
321212221111000000000000
41030311103312200210
52322424141300301
6101522135021300
75650253006064
oct1146523664044
9255844000000
1082498775076
1131a95453853
1213ba480a830
137a19a25853
143dc898b3a4
15222ca56786
hex13354f6824

82498775076 has 117 divisors (see below), whose sum is σ = 217664013889. Its totient is φ = 27359999856.

The previous prime is 82498775059. The next prime is 82498775083. The reversal of 82498775076 is 67057789428.

The square root of 82498775076 is 287226.

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

82498775076 is a `hidden beast` number, since 8 + 2 + 49 + 87 + 7 + 507 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 80832176100 + 1666598976 = 284310^2 + 40824^2 .

It is a Duffinian 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 38 ways as a sum of consecutive naturals, for example, 418775410 + ... + 418775606.

Almost surely, 282498775076 is an apocalyptic number.

82498775076 is the 287226-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82498775076

82498775076 is an abundant number, since it is smaller than the sum of its proper divisors (135165238813).

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

82498775076 is an frugal number, since it uses more digits than its factorization.

82498775076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 82498775076 in words is "eighty-two billion, four hundred ninety-eight million, seven hundred seventy-five thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 197 243 324 394 486 591 729 788 972 1182 1458 1773 2187 2364 2916 3546 4374 5319 6561 7092 8748 10638 13122 15957 19683 21276 26244 31914 38809 39366 47871 59049 63828 77618 78732 95742 116427 118098 143613 155236 177147 191484 232854 236196 287226 349281 354294 430839 465708 531441 574452 698562 708588 861678 1047843 1062882 1292517 1397124 1723356 2095686 2125764 2585034 3143529 3877551 4191372 5170068 6287058 7755102 9430587 11632653 12574116 15510204 18861174 23265306 28291761 34897959 37722348 46530612 56583522 69795918 84875283 104693877 113167044 139591836 169750566 209387754 254625849 339501132 418775508 509251698 763877547 1018503396 1527755094 2291632641 3055510188 4583265282 6874897923 9166530564 13749795846 20624693769 27499591692 41249387538 82498775076