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20608361088 = 273738919709
BaseRepresentation
bin10011001100010110…
…101010001010000000
31222012020021012202220
4103030112222022000
5314201220023323
613244540411040
71326460115250
oct231426521200
958166235686
1020608361088
118815978787
123bb1846a80
131c35740103
14dd7007960
1580938b0e3
hex4cc5aa280

20608361088 has 128 divisors (see below), whose sum is σ = 62725104000. Its totient is φ = 5872668672.

The previous prime is 20608361063. The next prime is 20608361099. The reversal of 20608361088 is 88016380602.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1035778 + ... + 1055486.

It is an arithmetic number, because the mean of its divisors is an integer number (490039875).

Almost surely, 220608361088 is an apocalyptic number.

20608361088 is a gapful number since it is divisible by the number (28) 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 20608361088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31362552000).

20608361088 is an abundant number, since it is smaller than the sum of its proper divisors (42116742912).

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

20608361088 is a wasteful number, since it uses less digits than its factorization.

20608361088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20122 (or 20110 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 20608361088 in words is "twenty billion, six hundred eight million, three hundred sixty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 389 448 672 778 896 1167 1344 1556 2334 2688 2723 3112 4668 5446 6224 8169 9336 10892 12448 16338 18672 19709 21784 24896 32676 37344 39418 43568 49792 59127 65352 74688 78836 87136 118254 130704 137963 149376 157672 174272 236508 261408 275926 315344 348544 413889 473016 522816 551852 630688 827778 946032 1045632 1103704 1261376 1655556 1892064 2207408 2522752 3311112 3784128 4414816 6622224 7568256 7666801 8829632 13244448 15333602 17659264 23000403 26488896 30667204 46000806 52977792 53667607 61334408 92001612 107335214 122668816 161002821 184003224 214670428 245337632 322005642 368006448 429340856 490675264 644011284 736012896 858681712 981350528 1288022568 1472025792 1717363424 2576045136 2944051584 3434726848 5152090272 6869453696 10304180544 20608361088