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995686217814016 = 212796
BaseRepresentation
bin1110001001100100100100001…
…1010100100001000000000000
311211120102200011110220222021001
43202121021003110201000000
52021001310333230022031
613445351533412141344
7416503645451505541
oct34231110324410000
94746380143828231
10995686217814016
11269290176519423
129380a7ab907854
1333976a65ca4c01
14137c3681c5a4c8
157a1a13bc26861
hex3899243521000

995686217814016 has 91 divisors (see below), whose sum is σ = 2016656647507951. Its totient is φ = 491541297401856.

The previous prime is 995686217813999. The next prime is 995686217814031. The reversal of 995686217814016 is 610418712686599.

The square root of 995686217814016 is 31554496.

The cubic root of 995686217814016 is 99856.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It is a super-2 number, since 2×9956862178140162 (a number of 31 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 995686217814016.

It is an unprimeable number.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 12603623010265 + ... + 12603623010343.

Almost surely, 2995686217814016 is an apocalyptic number.

995686217814016 is the 31554496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 995686217814016

995686217814016 is an abundant number, since it is smaller than the sum of its proper divisors (1020970429693935).

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

995686217814016 is an frugal number, since it uses more digits than its factorization.

995686217814016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 73.

The spelling of 995686217814016 in words is "nine hundred ninety-five trillion, six hundred eighty-six billion, two hundred seventeen million, eight hundred fourteen thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 79 128 158 256 316 512 632 1024 1264 2048 2528 4096 5056 6241 10112 12482 20224 24964 40448 49928 80896 99856 161792 199712 323584 399424 493039 798848 986078 1597696 1972156 3195392 3944312 6390784 7888624 12781568 15777248 25563136 31554496 38950081 63108992 77900162 126217984 155800324 252435968 311600648 504871936 623201296 1009743872 1246402592 2019487744 2492805184 3077056399 4985610368 6154112798 9971220736 12308225596 19942441472 24616451192 39884882944 49232902384 79769765888 98465804768 159539531776 196931609536 243087455521 393863219072 486174911042 787726438144 972349822084 1575452876288 1944699644168 3150905752576 3889399288336 6301811505152 7778798576672 12603623010304 15557597153344 31115194306688 62230388613376 124460777226752 248921554453504 497843108907008 995686217814016