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82441503504 = 2432572510441
BaseRepresentation
bin100110011000111100…
…1011000001100010000
321212210111020022011200
41030301321120030100
52322320011103004
6101512331311200
75645656134423
oct1146171301420
9255714208150
1082441503504
1131a66096878
1213b895ab500
137a0abc2749
143dc111d9ba
1522279e2239
hex1331e58310

82441503504 has 30 divisors (see below), whose sum is σ = 230721708126. Its totient is φ = 27480501120.

The previous prime is 82441503503. The next prime is 82441503511. The reversal of 82441503504 is 40530514428.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 81054090000 + 1387413504 = 284700^2 + 37248^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (82441503503) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 286255077 + ... + 286255364.

Almost surely, 282441503504 is an apocalyptic number.

It is an amenable number.

82441503504 is an abundant number, since it is smaller than the sum of its proper divisors (148280204622).

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

82441503504 is a wasteful number, since it uses less digits than its factorization.

82441503504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572510455 (or 572510446 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 82441503504 in words is "eighty-two billion, four hundred forty-one million, five hundred three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 572510441 1145020882 1717531323 2290041764 3435062646 4580083528 5152593969 6870125292 9160167056 10305187938 13740250584 20610375876 27480501168 41220751752 82441503504