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82584150158416 = 24191593717045767
BaseRepresentation
bin10010110001110000011110…
…111011110010110001010000
3101211101222010102021112220111
4102301300132323302301100
541311024314420032131
6451350345042451104
723252336141052634
oct2261603673626120
9354358112245814
1082584150158416
112434a817888995
129319440963a94
1337108624238aa
141657146682dc4
1598330b04eab1
hex4b1c1eef2c50

82584150158416 has 40 divisors (see below), whose sum is σ = 168438779238080. Its totient is φ = 39116351084544.

The previous prime is 82584150158369. The next prime is 82584150158443. The reversal of 82584150158416 is 61485105148528.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3678036 + ... + 13367731.

It is an arithmetic number, because the mean of its divisors is an integer number (4210969480952).

Almost surely, 282584150158416 is an apocalyptic number.

It is an amenable number.

82584150158416 is an abundant number, since it is smaller than the sum of its proper divisors (85854629079664).

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

82584150158416 is a wasteful number, since it uses less digits than its factorization.

82584150158416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17061731 (or 17061725 counting only the distinct ones).

The product of its (nonzero) digits is 12288000, while the sum is 58.

The spelling of 82584150158416 in words is "eighty-two trillion, five hundred eighty-four billion, one hundred fifty million, one hundred fifty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 19 38 76 152 304 15937 31874 63748 127496 254992 302803 605606 1211212 2422424 4844848 17045767 34091534 68183068 136366136 272732272 323869573 647739146 1295478292 2590956584 5181913168 271658388679 543316777358 1086633554716 2173267109432 4346534218864 5161509384901 10323018769802 20646037539604 41292075079208 82584150158416