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8016834189870 = 2335114757431293
BaseRepresentation
bin111010010101001000010…
…0011011101101000101110
31001101101211221212212001000
41310222100203131220232
52022321434023033440
625014514403101130
71455124424162052
oct164522043355056
931341757785030
108016834189870
112610a139a1250
12a958716717a6
13461ca444135c
141da034319c62
15dd809cd8730
hex74a908dda2e

8016834189870 has 128 divisors (see below), whose sum is σ = 23817906247680. Its totient is φ = 1902124391040.

The previous prime is 8016834189857. The next prime is 8016834189907. The reversal of 8016834189870 is 789814386108.

8016834189870 is a `hidden beast` number, since 8 + 0 + 1 + 68 + 3 + 418 + 98 + 70 = 666.

It is a super-3 number, since 3×80168341898703 (a number of 40 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 8016834189798 and 8016834189807.

It is a congruent 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, 28576057 + ... + 28855236.

It is an arithmetic number, because the mean of its divisors is an integer number (186077392560).

Almost surely, 28016834189870 is an apocalyptic number.

8016834189870 is an abundant number, since it is smaller than the sum of its proper divisors (15801072057810).

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

8016834189870 is a wasteful number, since it uses less digits than its factorization.

8016834189870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57431367 (or 57431361 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 8016834189870 in words is "eight trillion, sixteen billion, eight hundred thirty-four million, one hundred eighty-nine thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 47 54 55 66 90 94 99 110 135 141 165 198 235 270 282 297 330 423 470 495 517 594 705 846 990 1034 1269 1410 1485 1551 2115 2538 2585 2970 3102 4230 4653 5170 6345 7755 9306 12690 13959 15510 23265 27918 46530 69795 139590 57431293 114862586 172293879 287156465 344587758 516881637 574312930 631744223 861469395 1033763274 1263488446 1550644911 1722938790 1895232669 2584408185 2699270771 3101289822 3158721115 3790465338 5168816370 5398541542 5685698007 6317442230 7753224555 8097812313 9476163345 11371396014 13496353855 15506449110 16195624626 17057094021 18952326690 24293436939 26992707710 28428490035 29691978481 34114188042 40489061565 48586873878 56856980070 59383956962 72880310817 80978123130 85285470105 89075935443 121467184695 145760621634 148459892405 170570940210 178151870886 242934369390 267227806329 296919784810 364401554085 445379677215 534455612658 728803108170 801683418987 890759354430 1336139031645 1603366837974 2672278063290 4008417094935 8016834189870