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83999627437374 = 2321123315711158991
BaseRepresentation
bin10011000110010110101111…
…111101000110010100111110
3102000102021201110111120201100
4103012112233331012110332
542002222214110443444
6454352521321153530
723456526034315155
oct2306265775062476
9360367643446640
1083999627437374
1124846050905a10
12950783532b8a6
1337b4191704a9c
1416a586463259c
159aa052d4ee69
hex4c65aff4653e

83999627437374 has 96 divisors (see below), whose sum is σ = 199523792153088. Its totient is φ = 25329031056000.

The previous prime is 83999627437367. The next prime is 83999627437403. The reversal of 83999627437374 is 47373472699938.

83999627437374 is a `hidden beast` number, since 8 + 3 + 9 + 9 + 96 + 27 + 437 + 3 + 74 = 666.

It is a super-3 number, since 3×839996274373743 (a number of 43 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 83999627437293 and 83999627437302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71897019 + ... + 73056009.

It is an arithmetic number, because the mean of its divisors is an integer number (2078372834928).

Almost surely, 283999627437374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83999627437374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99761896076544).

83999627437374 is an abundant number, since it is smaller than the sum of its proper divisors (115524164715714).

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

83999627437374 is a wasteful number, since it uses less digits than its factorization.

83999627437374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160814 (or 1160811 counting only the distinct ones).

The product of its digits is 10369949184, while the sum is 81.

The spelling of 83999627437374 in words is "eighty-three trillion, nine hundred ninety-nine billion, six hundred twenty-seven million, four hundred thirty-seven thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 233 466 699 1398 1571 2097 2563 3142 4194 4713 5126 7689 9426 14139 15378 17281 23067 28278 34562 46134 51843 103686 155529 311058 366043 732086 1098129 1158991 2196258 2317982 3294387 3476973 4026473 6588774 6953946 8052946 10430919 12079419 12748901 20861838 24158838 25497802 36238257 38246703 72476514 76493406 114740109 229480218 270044903 540089806 810134709 1620269418 1820774861 2430404127 2970493933 3641549722 4860808254 5462324583 5940987866 8911481799 10924649166 16386973749 17822963598 20028523471 26734445397 32773947498 40057046942 53468890794 60085570413 120171140826 180256711239 360513422478 424240542613 848481085226 1272721627839 2545443255678 3818164883517 4666645968743 7636329767034 9333291937486 13999937906229 27999875812458 41999813718687 83999627437374