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82501608501 = 321313137314431
BaseRepresentation
bin100110011010101111…
…0101010010000110101
321212221200022221201200
41030311132222100311
52322430402433001
6101522315443113
75650316046564
oct1146536522065
9255850287650
1082501608501
1131a97009624
1213ba5756499
137a1a4a8430
143dc90c7bdb
15222ce16086
hex13357aa435

82501608501 has 48 divisors (see below), whose sum is σ = 129671173632. Its totient is φ = 50244105600.

The previous prime is 82501608487. The next prime is 82501608517. The reversal of 82501608501 is 10580610528.

It is not a de Polignac number, because 82501608501 - 210 = 82501607477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82501608521) 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 47 ways as a sum of consecutive naturals, for example, 5709756 + ... + 5724186.

It is an arithmetic number, because the mean of its divisors is an integer number (2701482784).

Almost surely, 282501608501 is an apocalyptic number.

It is an amenable number.

82501608501 is a deficient number, since it is larger than the sum of its proper divisors (47169565131).

82501608501 is a wasteful number, since it uses less digits than its factorization.

82501608501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14954 (or 14951 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 82501608501 in words is "eighty-two billion, five hundred one million, six hundred eight thousand, five hundred one".

Divisors: 1 3 9 13 39 117 131 373 393 1119 1179 1703 3357 4849 5109 14431 14547 15327 43293 43641 48863 129879 146589 187603 439767 562809 635219 1688427 1890461 1905657 5382763 5671383 5716971 16148289 17014149 24575993 48444867 69975919 73727979 209927757 221183937 629783271 705141953 2115425859 6346277577 9166845389 27500536167 82501608501