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218842479020 = 225112995335993
BaseRepresentation
bin1100101111010000000…
…1110011100110101100
3202220212111201210110202
43023310001303212230
512041142133312040
6244311305453032
721545056244114
oct3136401634654
9686774653422
10218842479020
11848a0968610
12364b5aa1178
1317837c56649
14a840774044
155a5c796015
hex32f40739ac

218842479020 has 96 divisors (see below), whose sum is σ = 519194733120. Its totient is φ = 76752220160.

The previous prime is 218842478989. The next prime is 218842479041. The reversal of 218842479020 is 20974248812.

218842479020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6062144 + ... + 6098136.

It is an arithmetic number, because the mean of its divisors is an integer number (5408278470).

Almost surely, 2218842479020 is an apocalyptic number.

218842479020 is a gapful number since it is divisible by the number (20) 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 218842479020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259597366560).

218842479020 is an abundant number, since it is smaller than the sum of its proper divisors (300352254100).

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

218842479020 is a wasteful number, since it uses less digits than its factorization.

218842479020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36995 (or 36993 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 47.

The spelling of 218842479020 in words is "two hundred eighteen billion, eight hundred forty-two million, four hundred seventy-nine thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 953 1276 1595 1906 3190 3812 4765 6380 9530 10483 19060 20966 27637 35993 41932 52415 55274 71986 104830 110548 138185 143972 179965 209660 276370 304007 359930 395923 552740 608014 719860 791846 1043797 1216028 1520035 1583692 1979615 2087594 3040070 3959230 4175188 5218985 6080140 7918460 10437970 11481767 20875940 22963534 34301329 45927068 57408835 68602658 114817670 137205316 171506645 229635340 343013290 377314619 686026580 754629238 994738541 1509258476 1886573095 1989477082 3773146190 3978954164 4973692705 7546292380 9947385410 10942123951 19894770820 21884247902 43768495804 54710619755 109421239510 218842479020