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159006974874 = 231131731099767
BaseRepresentation
bin1001010000010110001…
…1011110001110011010
3120012102110200020121120
42110011203132032122
510101121241143444
6201014035150110
714326224662136
oct2240543361632
9505373606546
10159006974874
1161486323740
1226997145336
1311cc06023a7
1479a5aa03c6
1542096d7b19
hex25058de39a

159006974874 has 128 divisors (see below), whose sum is σ = 366389084160. Its totient is φ = 45564249600.

The previous prime is 159006974849. The next prime is 159006974891. The reversal of 159006974874 is 478479600951.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16275139 + ... + 16284905.

It is an arithmetic number, because the mean of its divisors is an integer number (2862414720).

Almost surely, 2159006974874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159006974874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183194542080).

159006974874 is an abundant number, since it is smaller than the sum of its proper divisors (207382109286).

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

159006974874 is a wasteful number, since it uses less digits than its factorization.

159006974874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9996.

The product of its (nonzero) digits is 15240960, while the sum is 60.

The spelling of 159006974874 in words is "one hundred fifty-nine billion, six million, nine hundred seventy-four thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 11 22 31 33 62 66 73 93 109 146 186 218 219 327 341 438 654 682 803 1023 1199 1606 2046 2263 2398 2409 3379 3597 4526 4818 6758 6789 7194 7957 9767 10137 13578 15914 19534 20274 23871 24893 29301 37169 47742 49786 58602 74338 74679 87527 107437 111507 149358 175054 214874 223014 246667 262581 302777 322311 493334 525162 605554 644622 712991 740001 908331 1064603 1425982 1480002 1816662 2129206 2138973 2713337 3193809 3330547 4277946 5426674 6387618 6661094 7842901 8140011 9991641 11710633 15685802 16280022 19983282 22102721 23421266 23528703 33002693 35131899 44205442 47057406 66005386 66308163 70263798 77716019 99008079 132616326 155432038 198016158 233148057 243129931 363029623 466296114 486259862 726059246 729389793 854876209 1089088869 1458779586 1709752418 2178177738 2409196589 2564628627 4818393178 5129257254 7227589767 14455179534 26501162479 53002324958 79503487437 159006974874