Search a number
-
+
216754172114424 = 233710122815600303
BaseRepresentation
bin110001010010001100000011…
…011011101011010111111000
31001102110111101221021210201020
4301102030003123223113320
5211402300021030130144
62044555254135222440
763440654306462430
oct6122140333532770
91042414357253636
10216754172114424
1163078a2343080a
12203884b1817a20
1393c3aa51480a9
143b74d5a6d12c0
151a0d417cd9419
hexc523036eb5f8

216754172114424 has 128 divisors (see below), whose sum is σ = 625703596922880. Its totient is φ = 61289705088000.

The previous prime is 216754172114401. The next prime is 216754172114437. The reversal of 216754172114424 is 424411271457612.

It is a happy number.

216754172114424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2167541721144242 (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 31 ways as a sum of consecutive naturals, for example, 35903857 + ... + 41504159.

It is an arithmetic number, because the mean of its divisors is an integer number (4888309350960).

Almost surely, 2216754172114424 is an apocalyptic number.

216754172114424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216754172114424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312851798461440).

216754172114424 is an abundant number, since it is smaller than the sum of its proper divisors (408949424808456).

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

216754172114424 is a wasteful number, since it uses less digits than its factorization.

216754172114424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5602701 (or 5602697 counting only the distinct ones).

The product of its digits is 3010560, while the sum is 51.

The spelling of 216754172114424 in words is "two hundred sixteen trillion, seven hundred fifty-four billion, one hundred seventy-two million, one hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 101 168 202 303 404 606 707 808 1212 1414 2121 2281 2424 2828 4242 4562 5656 6843 8484 9124 13686 15967 16968 18248 27372 31934 47901 54744 63868 95802 127736 191604 230381 383208 460762 691143 921524 1382286 1612667 1843048 2764572 3225334 4838001 5529144 5600303 6450668 9676002 11200606 12901336 16800909 19352004 22401212 33601818 38704008 39202121 44802424 67203636 78404242 117606363 134407272 156808484 235212726 313616968 470425452 565630603 940850904 1131261206 1696891809 2262522412 3393783618 3959414221 4525044824 6787567236 7918828442 11878242663 12774291143 13575134472 15837656884 23756485326 25548582286 31675313768 38322873429 47512970652 51097164572 76645746858 89420038001 95025941304 102194329144 153291493716 178840076002 268260114003 306582987432 357680152004 536520228006 715360304008 1073040456012 1290203405443 2146080912024 2580406810886 3870610216329 5160813621772 7741220432658 9031423838101 10321627243544 15482440865316 18062847676202 27094271514303 30964881730632 36125695352404 54188543028606 72251390704808 108377086057212 216754172114424