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82325056512 = 210361343717
BaseRepresentation
bin100110010101011110…
…1001010110000000000
321212111101010011221010
41030222331022300000
52322100203302022
6101453011400520
75643043302006
oct1145275126000
9255441104833
1082325056512
1131a06391496
1213b565b3140
1379bca40aba
143dad88aa76
15221c68e50c
hex132af4ac00

82325056512 has 88 divisors (see below), whose sum is σ = 219789272176. Its totient is φ = 27396292608.

The previous prime is 82325056501. The next prime is 82325056571. The reversal of 82325056512 is 21565052328.

It is a super-2 number, since 2×823250565122 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1861278 + ... + 1904994.

Almost surely, 282325056512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82325056512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109894636088).

82325056512 is an abundant number, since it is smaller than the sum of its proper divisors (137464215664).

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

82325056512 is a wasteful number, since it uses less digits than its factorization.

82325056512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44353 (or 44335 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The spelling of 82325056512 in words is "eighty-two billion, three hundred twenty-five million, fifty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 613 768 1024 1226 1536 1839 2452 3072 3678 4904 7356 9808 14712 19616 29424 39232 43717 58848 78464 87434 117696 131151 156928 174868 235392 262302 313856 349736 470784 524604 627712 699472 941568 1049208 1398944 1883136 2098416 2797888 4196832 5595776 8393664 11191552 16787328 22383104 26798521 33574656 44766208 53597042 67149312 80395563 107194084 134298624 160791126 214388168 321582252 428776336 643164504 857552672 1286329008 1715105344 2572658016 3430210688 5145316032 6860421376 10290632064 13720842752 20581264128 27441685504 41162528256 82325056512