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20811274020 = 223253114925031
BaseRepresentation
bin10011011000011100…
…101101011100100100
31222201101002020222200
4103120130231130210
5320110141232040
613321025454500
71334502624165
oct233034553444
958641066880
1020811274020
11890a470219
1240497a1430
131c687a7234
141015d4776c
1581c0bd630
hex4d872d724

20811274020 has 144 divisors (see below), whose sum is σ = 65603865600. Its totient is φ = 5334393600.

The previous prime is 20811274007. The next prime is 20811274037. The reversal of 20811274020 is 2047211802.

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 47 ways as a sum of consecutive naturals, for example, 818905 + ... + 843935.

It is an arithmetic number, because the mean of its divisors is an integer number (455582400).

Almost surely, 220811274020 is an apocalyptic number.

20811274020 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 20811274020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32801932800).

20811274020 is an abundant number, since it is smaller than the sum of its proper divisors (44792591580).

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

20811274020 is a wasteful number, since it uses less digits than its factorization.

20811274020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25226 (or 25221 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

Adding to 20811274020 its reverse (2047211802), we get a palindrome (22858485822).

The spelling of 20811274020 in words is "twenty billion, eight hundred eleven million, two hundred seventy-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 149 155 180 186 279 298 310 372 447 465 558 596 620 745 894 930 1116 1341 1395 1490 1788 1860 2235 2682 2790 2980 4470 4619 5364 5580 6705 8940 9238 13410 13857 18476 23095 25031 26820 27714 41571 46190 50062 55428 69285 75093 83142 92380 100124 125155 138570 150186 166284 207855 225279 250310 277140 300372 375465 415710 450558 500620 750930 775961 831420 901116 1126395 1501860 1551922 2252790 2327883 3103844 3729619 3879805 4505580 4655766 6983649 7459238 7759610 9311532 11188857 11639415 13967298 14918476 15519220 18648095 22377714 23278830 27934596 33566571 34918245 37296190 44755428 46557660 55944285 67133142 69836490 74592380 111888570 115618189 134266284 139672980 167832855 223777140 231236378 335665710 346854567 462472756 578090945 671331420 693709134 1040563701 1156181890 1387418268 1734272835 2081127402 2312363780 3468545670 4162254804 5202818505 6937091340 10405637010 20811274020