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20986498560 = 29356144797
BaseRepresentation
bin10011100010111001…
…001000111000000000
32000011120210120212110
4103202321020320000
5320440020423220
613350245255320
71342031202666
oct234271107000
960146716773
1020986498560
11899a370a95
124098404540
131c95b985b1
14103131ac36
1582c681be0
hex4e2e48e00

20986498560 has 160 divisors (see below), whose sum is σ = 68192590752. Its totient is φ = 5504532480.

The previous prime is 20986498541. The next prime is 20986498567. The reversal of 20986498560 is 6589468902.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 20986498560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20986498567) by changing a digit.

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, 446082 + ... + 490878.

Almost surely, 220986498560 is an apocalyptic number.

20986498560 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 20986498560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34096295376).

20986498560 is an abundant number, since it is smaller than the sum of its proper divisors (47206092192).

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

20986498560 is an equidigital number, since it uses as much as digits as its factorization.

20986498560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44884 (or 44868 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 57.

The spelling of 20986498560 in words is "twenty billion, nine hundred eighty-six million, four hundred ninety-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 64 80 96 120 122 128 160 183 192 240 244 256 305 320 366 384 480 488 512 610 640 732 768 915 960 976 1220 1280 1464 1536 1830 1920 1952 2440 2560 2928 3660 3840 3904 4880 5856 7320 7680 7808 9760 11712 14640 15616 19520 23424 29280 31232 39040 44797 46848 58560 78080 89594 93696 117120 134391 156160 179188 223985 234240 268782 358376 447970 468480 537564 671955 716752 895940 1075128 1343910 1433504 1791880 2150256 2687820 2732617 2867008 3583760 4300512 5375640 5465234 5734016 7167520 8197851 8601024 10751280 10930468 11468032 13663085 14335040 16395702 17202048 21502560 21860936 22936064 27326170 28670080 32791404 34404096 40989255 43005120 43721872 54652340 57340160 65582808 68808192 81978510 86010240 87443744 109304680 114680320 131165616 163957020 172020480 174887488 218609360 262331232 327914040 344040960 349774976 437218720 524662464 655828080 699549952 874437440 1049324928 1311656160 1399099904 1748874880 2098649856 2623312320 3497749760 4197299712 5246624640 6995499520 10493249280 20986498560