Search a number
-
+
213870863104 = 281933492
BaseRepresentation
bin1100011100101110110…
…0100110001100000000
3202110001000202112112221
43013023230212030000
512001001420104404
6242130110500424
721310630225063
oct3071354461400
9673030675487
10213870863104
118277a587a28
1235548b04714
1317224c55392
14a4cc3808da
15586b099954
hex31cbb26300

213870863104 has 108 divisors (see below), whose sum is σ = 451914725640. Its totient is φ = 101016972288.

The previous prime is 213870863099. The next prime is 213870863111. The reversal of 213870863104 is 401368078312.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

213870863104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 612810322 + ... + 612810670.

Almost surely, 2213870863104 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 213870863104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225957362820).

213870863104 is an abundant number, since it is smaller than the sum of its proper divisors (238043862536).

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

213870863104 is an frugal number, since it uses more digits than its factorization.

213870863104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 213870863104 in words is "two hundred thirteen billion, eight hundred seventy million, eight hundred sixty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 349 361 608 698 722 1216 1396 1444 2432 2792 2888 4864 5584 5776 6631 6859 11168 11552 13262 13718 22336 23104 26524 27436 44672 46208 53048 54872 89344 92416 106096 109744 121801 125989 212192 219488 243602 251978 424384 438976 487204 503956 848768 877952 974408 1007912 1697536 1755904 1948816 2015824 2314219 2393791 3897632 4031648 4628438 4787582 7795264 8063296 9256876 9575164 15590528 16126592 18513752 19150328 31181056 32253184 37027504 38300656 43970161 74055008 76601312 87940322 148110016 153202624 175880644 296220032 306405248 351761288 592440064 612810496 703522576 835433059 1407045152 1670866118 2814090304 3341732236 5628180608 6683464472 11256361216 13366928944 26733857888 53467715776 106935431552 213870863104