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82714084061376 = 263717098558027
BaseRepresentation
bin10010110011101001011111…
…100110010011000011000000
3101211212101111201211201102210
4102303221133212103003000
541320141421004431001
6451530154201142120
723264616053030355
oct2263513746230300
9354771451751383
1082714084061376
112439a934112369
12933a66348a940
13371cb9b6c5241
14165d55106462c
159868b31a8dd6
hex4b3a5f9930c0

82714084061376 has 112 divisors (see below), whose sum is σ = 222243086810880. Its totient is φ = 27144689187840.

The previous prime is 82714084061369. The next prime is 82714084061377. The reversal of 82714084061376 is 67316048041728.

It is a super-2 number, since 2×827140840613762 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82714084061377) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5386075 + ... + 13944101.

Almost surely, 282714084061376 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 82714084061376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111121543405440).

82714084061376 is an abundant number, since it is smaller than the sum of its proper divisors (139529002749504).

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

82714084061376 is a wasteful number, since it uses less digits than its factorization.

82714084061376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8558822 (or 8558812 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 57.

The spelling of 82714084061376 in words is "eighty-two trillion, seven hundred fourteen billion, eighty-four million, sixty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 142 192 213 284 426 568 709 852 1136 1418 1704 2127 2272 2836 3408 4254 4544 5672 6816 8508 11344 13632 17016 22688 34032 45376 50339 68064 100678 136128 151017 201356 302034 402712 604068 805424 1208136 1610848 2416272 3221696 4832544 8558027 9665088 17116054 25674081 34232108 51348162 68464216 102696324 136928432 205392648 273856864 410785296 547713728 607619917 821570592 1215239834 1643141184 1822859751 2430479668 3645719502 4860959336 6067641143 7291439004 9721918672 12135282286 14582878008 18202923429 19443837344 24270564572 29165756016 36405846858 38887674688 48541129144 58331512032 72811693716 97082258288 116663024064 145623387432 194164516576 291246774864 388329033152 430802521153 582493549728 861605042306 1164987099456 1292407563459 1723210084612 2584815126918 3446420169224 5169630253836 6892840338448 10339260507672 13785680676896 20678521015344 27571361353792 41357042030688 82714084061376