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21660521160 = 23351511996007
BaseRepresentation
bin10100001011000100…
…010101001011001000
32001220120002111001110
4110023010111023020
5323330043134120
613541204050320
71364524251315
oct241304251310
961816074043
1021660521160
119205888163
1242460939a0
132072710935
141096a51d0c
1586b9222e0
hex50b1152c8

21660521160 has 128 divisors (see below), whose sum is σ = 65751552000. Its totient is φ = 5708102400.

The previous prime is 21660521137. The next prime is 21660521177. The reversal of 21660521160 is 6112506612.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 3602877 + ... + 3608883.

It is an arithmetic number, because the mean of its divisors is an integer number (513684000).

Almost surely, 221660521160 is an apocalyptic number.

21660521160 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 21660521160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32875776000).

21660521160 is an abundant number, since it is smaller than the sum of its proper divisors (44091030840).

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

21660521160 is a wasteful number, since it uses less digits than its factorization.

21660521160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6371 (or 6367 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 21660521160 in words is "twenty-one billion, six hundred sixty million, five hundred twenty-one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 151 199 302 398 453 597 604 755 796 906 995 1194 1208 1510 1592 1812 1990 2265 2388 2985 3020 3624 3980 4530 4776 5970 6007 6040 7960 9060 11940 12014 18021 18120 23880 24028 30035 30049 36042 48056 60070 60098 72084 90105 90147 120140 120196 144168 150245 180210 180294 240280 240392 300490 360420 360588 450735 600980 720840 721176 901470 907057 1195393 1201960 1802940 1814114 2390786 2721171 3586179 3605880 3628228 4535285 4781572 5442342 5976965 7172358 7256456 9070570 9563144 10884684 11953930 13605855 14344716 17930895 18141140 21769368 23907860 27211710 28689432 35861790 36282280 47815720 54423420 71723580 108846840 143447160 180504343 361008686 541513029 722017372 902521715 1083026058 1444034744 1805043430 2166052116 2707565145 3610086860 4332104232 5415130290 7220173720 10830260580 21660521160