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20441162560 = 265713701963
BaseRepresentation
bin10011000010011000…
…110110001101000000
31221202120122122111211
4103002120312031000
5313330414200220
613220205015504
71322360005060
oct230230661500
957676578454
1020441162560
11873a559a85
123b65854594
131c09bcbc80
14dbcb233a0
157e9860b5a
hex4c2636340

20441162560 has 112 divisors (see below), whose sum is σ = 59908415616. Its totient is φ = 6469281792.

The previous prime is 20441162543. The next prime is 20441162617. The reversal of 20441162560 is 6526114402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×204411625602 (a number of 21 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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 321862 + ... + 380101.

It is an arithmetic number, because the mean of its divisors is an integer number (534896568).

Almost surely, 220441162560 is an apocalyptic number.

20441162560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20441162560 is an abundant number, since it is smaller than the sum of its proper divisors (39467253056).

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

20441162560 is a wasteful number, since it uses less digits than its factorization.

20441162560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702000 (or 701990 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 20441162560 its reverse (6526114402), we get a palindrome (26967276962).

The spelling of 20441162560 in words is "twenty billion, four hundred forty-one million, one hundred sixty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 130 140 160 182 208 224 260 280 320 364 416 448 455 520 560 728 832 910 1040 1120 1456 1820 2080 2240 2912 3640 4160 5824 7280 14560 29120 701963 1403926 2807852 3509815 4913741 5615704 7019630 9125519 9827482 11231408 14039260 18251038 19654964 22462816 24568705 28078520 36502076 39309928 44925632 45627595 49137410 56157040 63878633 73004152 78619856 91255190 98274820 112314080 127757266 146008304 157239712 182510380 196549640 224628160 255514532 292016608 314479424 319393165 365020760 393099280 511029064 584033216 638786330 730041520 786198560 1022058128 1277572660 1460083040 1572397120 2044116256 2555145320 2920166080 4088232512 5110290640 10220581280 20441162560