Search a number
-
+
8973997426632 = 2337613072852387
BaseRepresentation
bin1000001010010110101111…
…1011011100011111001000
31011202220110022101020102110
42002211223323130133020
52134012221320123012
631030333021102320
71614231010354410
oct202455373343710
934686408336373
108973997426632
11294a93a660977
12100b2796b79a0
13501323a27bc4
142304b5521640
1510867a9ba73c
hex8296bedc7c8

8973997426632 has 128 divisors (see below), whose sum is σ = 26145216599040. Its totient is φ = 2513750734080.

The previous prime is 8973997426613. The next prime is 8973997426643. The reversal of 8973997426632 is 2366247993798.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1719943 + ... + 4572329.

It is an arithmetic number, because the mean of its divisors is an integer number (204259504680).

Almost surely, 28973997426632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8973997426632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13072608299520).

8973997426632 is an abundant number, since it is smaller than the sum of its proper divisors (17171219172408).

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

8973997426632 is a wasteful number, since it uses less digits than its factorization.

8973997426632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2852771 (or 2852767 counting only the distinct ones).

The product of its digits is 1481421312, while the sum is 75.

The spelling of 8973997426632 in words is "eight trillion, nine hundred seventy-three billion, nine hundred ninety-seven million, four hundred twenty-six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 61 84 122 168 183 244 307 366 427 488 614 732 854 921 1228 1281 1464 1708 1842 2149 2456 2562 3416 3684 4298 5124 6447 7368 8596 10248 12894 17192 18727 25788 37454 51576 56181 74908 112362 131089 149816 224724 262178 393267 449448 524356 786534 1048712 1573068 2852387 3146136 5704774 8557161 11409548 17114322 19966709 22819096 34228644 39933418 59900127 68457288 79866836 119800254 159733672 173995607 239600508 347991214 479201016 521986821 695982428 875682809 1043973642 1217969249 1391964856 1751365618 2087947284 2435938498 2627048427 3502731236 3653907747 4175894568 4871876996 5254096854 6129779663 7005462472 7307815494 9743753992 10508193708 12259559326 14615630988 18389338989 21016387416 24519118652 29231261976 36778677978 49038237304 53416651349 73557355956 106833302698 147114711912 160249954047 213666605396 320499908094 373916559443 427333210792 640999816188 747833118886 1121749678329 1281999632376 1495666237772 2243499356658 2991332475544 4486998713316 8973997426632