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20683086960 = 24354713113997
BaseRepresentation
bin10011010000110011…
…101101110001110000
31222101102212200101210
4103100303231301300
5314324332240320
613300210200120
71331355224034
oct232063556160
958342780353
1020683086960
1188540773a8
124012883040
131c480749c3
141002cda1c4
15810bec0e0
hex4d0cedc70

20683086960 has 160 divisors (see below), whose sum is σ = 65986348032. Its totient is φ = 5356549120.

The previous prime is 20683086959. The next prime is 20683087001. The reversal of 20683086960 is 6968038602.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1470682 + ... + 1484678.

Almost surely, 220683086960 is an apocalyptic number.

20683086960 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 20683086960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32993174016).

20683086960 is an abundant number, since it is smaller than the sum of its proper divisors (45303261072).

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

20683086960 is a wasteful number, since it uses less digits than its factorization.

20683086960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14191 (or 14185 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 20683086960 in words is "twenty billion, six hundred eighty-three million, eighty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 131 141 188 235 240 262 282 376 393 470 524 564 655 705 752 786 940 1048 1128 1310 1410 1572 1880 1965 2096 2256 2620 2820 3144 3760 3930 5240 5640 6157 6288 7860 10480 11280 12314 13997 15720 18471 24628 27994 30785 31440 36942 41991 49256 55988 61570 69985 73884 83982 92355 98512 111976 123140 139970 147768 167964 184710 209955 223952 246280 279940 295536 335928 369420 419910 492560 559880 657859 671856 738840 839820 1119760 1315718 1477680 1679640 1833607 1973577 2631436 3289295 3359280 3667214 3947154 5262872 5500821 6578590 7334428 7894308 9168035 9867885 10525744 11001642 13157180 14668856 15788616 18336070 19735770 22003284 26314360 27504105 29337712 31577232 36672140 39471540 44006568 52628720 55008210 73344280 78943080 86179529 88013136 110016420 146688560 157886160 172359058 220032840 258538587 344718116 430897645 440065680 517077174 689436232 861795290 1034154348 1292692935 1378872464 1723590580 2068308696 2585385870 3447181160 4136617392 5170771740 6894362320 10341543480 20683086960