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214082055376 = 24783136116921
BaseRepresentation
bin1100011101100001001…
…0001110110011010000
3202110120202011012212221
43013120102032303100
512001420001233001
6242203053230424
721316103306020
oct3073022166320
9673522135787
10214082055376
11828788148a2
12355a7792414
131725992ab17
14a50c437a80
15587e8b51a1
hex31d848ecd0

214082055376 has 80 divisors (see below), whose sum is σ = 480131019648. Its totient is φ = 90572083200.

The previous prime is 214082055349. The next prime is 214082055401. The reversal of 214082055376 is 673550280412.

It is a super-2 number, since 2×2140820553762 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12643396 + ... + 12660316.

Almost surely, 2214082055376 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 214082055376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240065509824).

214082055376 is an abundant number, since it is smaller than the sum of its proper divisors (266048964272).

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

214082055376 is a wasteful number, since it uses less digits than its factorization.

214082055376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18380 (or 18374 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 43.

The spelling of 214082055376 in words is "two hundred fourteen billion, eighty-two million, fifty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 56 83 112 166 332 581 664 1162 1328 1361 2324 2722 4648 5444 9296 9527 10888 16921 19054 21776 33842 38108 67684 76216 112963 118447 135368 152432 225926 236894 270736 451852 473788 790741 903704 947576 1404443 1581482 1807408 1895152 2808886 3162964 5617772 6325928 9831101 11235544 12651856 19662202 22471088 23029481 39324404 46058962 78648808 92117924 157297616 161206367 184235848 322412734 368471696 644825468 1289650936 1911446923 2579301872 3822893846 7645787692 13380128461 15291575384 26760256922 30583150768 53520513844 107041027688 214082055376