Search a number
-
+
82041494520976 = 24232984532
BaseRepresentation
bin10010101001110111000110…
…001000110100010010010000
3101202111002102210221221110021
4102221313012020310102100
541223131440044132401
6450253201533113224
723165205500204254
oct2251670610642220
9352432383857407
1082041494520976
1124160669926771
129250236628814
1336a1630ca0283
141638b882ca264
1597414a7142a1
hex4a9dc6234490

82041494520976 has 45 divisors (see below), whose sum is σ = 166168670378809. Its totient is φ = 39236837972288.

The previous prime is 82041494520971. The next prime is 82041494521033. The reversal of 82041494520976 is 67902549414028.

The square root of 82041494520976 is 9057676.

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

It can be written as a sum of positive squares in only one way, i.e., 80436144704400 + 1605349816576 = 8968620^2 + 1267024^2 .

It is a super-3 number, since 3×820414945209763 (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82041494520971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 833256966 + ... + 833355418.

Almost surely, 282041494520976 is an apocalyptic number.

82041494520976 is the 9057676-th square number.

It is an amenable number.

82041494520976 is an abundant number, since it is smaller than the sum of its proper divisors (84127175857833).

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

82041494520976 is an frugal number, since it uses more digits than its factorization.

82041494520976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196960 (or 98478 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 61.

The spelling of 82041494520976 in words is "eighty-two trillion, forty-one billion, four hundred ninety-four million, five hundred twenty thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 23 46 92 184 368 529 1058 2116 4232 8464 98453 196906 393812 787624 1575248 2264419 4528838 9057676 18115352 36230704 52081637 104163274 208326548 416653096 833306192 9692993209 19385986418 38771972836 77543945672 155087891344 222938843807 445877687614 891755375228 1783510750456 3567021500912 5127593407561 10255186815122 20510373630244 41020747260488 82041494520976