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48214650171006 = 232112391879542237
BaseRepresentation
bin10101111011001110110010…
…00110001010111001111110
320022201021102212110220012100
422331213121012022321332
522304422100420433011
6250313300550245530
713104251656313634
oct1275473106127176
9208637385426170
1048214650171006
11143a979a082850
1254a83a49568a6
1320b9811700717
14bc985c7d9354
15589291367d56
hex2bd9d918ae7e

48214650171006 has 96 divisors (see below), whose sum is σ = 114499843660800. Its totient is φ = 14541598290240.

The previous prime is 48214650170971. The next prime is 48214650171011. The reversal of 48214650171006 is 60017105641284.

48214650171006 is a `hidden beast` number, since 4 + 82 + 1 + 465 + 0 + 1 + 7 + 100 + 6 = 666.

It is a super-2 number, since 2×482146501710062 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

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, 88646920 + ... + 89189156.

It is an arithmetic number, because the mean of its divisors is an integer number (1192706704800).

Almost surely, 248214650171006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48214650171006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57249921830400).

48214650171006 is an abundant number, since it is smaller than the sum of its proper divisors (66285193489794).

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

48214650171006 is a wasteful number, since it uses less digits than its factorization.

48214650171006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544374 (or 544371 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 48214650171006 in words is "forty-eight trillion, two hundred fourteen billion, six hundred fifty million, one hundred seventy-one thousand, six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 239 478 717 1434 1879 2151 2629 3758 4302 5258 5637 7887 11274 15774 16911 20669 23661 33822 41338 47322 62007 124014 186021 372042 449081 542237 898162 1084474 1347243 1626711 2694486 3253422 4041729 4880133 4939891 5964607 8083458 9760266 9879782 11929214 14819673 17893821 29639346 35787642 44459019 53681463 88918038 107362926 129594643 259189286 388783929 777567858 1018863323 1166351787 1425541073 2037726646 2332703574 2851082146 3056589969 4276623219 6113179938 8553246438 9169769907 11207496553 12829869657 18339539814 22414993106 25659739314 33622489659 67244979318 100867468977 201734937954 243508334197 487016668394 730525002591 1461050005182 2191575007773 2678591676167 4383150015546 5357183352334 8035775028501 16071550057002 24107325085503 48214650171006