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82320244524752 = 2413230443877413
BaseRepresentation
bin10010101101111010101100…
…111011101100011011010000
3101210110201221101021022111012
4102231322230323230123100
541242213330044243002
6451025222005110052
723224304254144103
oct2255725473543320
9353421841238435
1082320244524752
1124258901a4a313
12929626b3b8328
1336c19c5476300
14164846d12073a
1597b512542d52
hex4adeaceec6d0

82320244524752 has 30 divisors (see below), whose sum is σ = 172708116569622. Its totient is φ = 37993959010176.

The previous prime is 82320244524737. The next prime is 82320244524781. The reversal of 82320244524752 is 25742544202328.

It can be written as a sum of positive squares in 3 ways, for example, as 10093430664256 + 72226813860496 = 3177016^2 + 8498636^2 .

It is a super-2 number, since 2×823202445247522 (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 82320244524752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15221936003 + ... + 15221941410.

Almost surely, 282320244524752 is an apocalyptic number.

It is an amenable number.

82320244524752 is an abundant number, since it is smaller than the sum of its proper divisors (90387872044870).

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

82320244524752 is a wasteful number, since it uses less digits than its factorization.

82320244524752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30443877447 (or 30443877428 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 50.

The spelling of 82320244524752 in words is "eighty-two trillion, three hundred twenty billion, two hundred forty-four million, five hundred twenty-four thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 30443877413 60887754826 121775509652 243551019304 395770406369 487102038608 791540812738 1583081625476 3166163250952 5145015282797 6332326501904 10290030565594 20580061131188 41160122262376 82320244524752