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166530417023838 = 23725921614442623
BaseRepresentation
bin100101110111010101100010…
…010110011101101101011110
3210211122011010002110012221010
4211313111202112131231132
5133311413243224230323
61350103003433520050
750035265656124400
oct4567254226355536
9724564102405833
10166530417023838
1149075175a7535a
1216816863873026
1371bc99ba8923a
142d1a18811cb70
15143bc8948ec93
hex97756259db5e

166530417023838 has 96 divisors (see below), whose sum is σ = 394187274731520. Its totient is φ = 46752021469440.

The previous prime is 166530417023819. The next prime is 166530417023849. The reversal of 166530417023838 is 838320714035661.

It is a super-2 number, since 2×1665304170238382 (a number of 29 digits) contains 22 as substring.

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, 35263395 + ... + 39706017.

It is an arithmetic number, because the mean of its divisors is an integer number (4106117445120).

Almost surely, 2166530417023838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166530417023838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197093637365760).

166530417023838 is an abundant number, since it is smaller than the sum of its proper divisors (227656857707682).

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

166530417023838 is a wasteful number, since it uses less digits than its factorization.

166530417023838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4444862 (or 4444855 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 166530417023838 in words is "one hundred sixty-six trillion, five hundred thirty billion, four hundred seventeen million, twenty-three thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 42 49 59 98 118 147 177 294 354 413 826 1239 2161 2478 2891 4322 5782 6483 8673 12966 15127 17346 30254 45381 90762 105889 127499 211778 254998 317667 382497 635334 764994 892493 1784986 2677479 4442623 5354958 6247451 8885246 12494902 13327869 18742353 26655738 31098361 37484706 62196722 93295083 186590166 217688527 262114757 435377054 524229514 653065581 786344271 1306131162 1572688542 1834803299 3669606598 5504409897 9600508303 11008819794 12843623093 19201016606 25687246186 28801524909 38530869279 57603049818 67203558121 77061738558 134407116242 201610674363 403221348726 470424906847 566429989877 940849813694 1132859979754 1411274720541 1699289969631 2822549441082 3398579939262 3965009929139 7930019858278 11895029787417 23790059574834 27755069503973 55510139007946 83265208511919 166530417023838