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20850607360 = 285111798273
BaseRepresentation
bin10011011010110010…
…110000010100000000
31222211010002121012001
4103122302300110000
5320200223413420
613324552513344
71335461144512
oct233262602400
958733077161
1020850607360
11892a695a10
12405a9ab854
131c739994bb
14101b265bb2
1582078cb0a
hex4dacb0500

20850607360 has 144 divisors (see below), whose sum is σ = 54795061440. Its totient is φ = 7538769920.

The previous prime is 20850607339. The next prime is 20850607387. The reversal of 20850607360 is 6370605802.

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, 2516184 + ... + 2524456.

It is an arithmetic number, because the mean of its divisors is an integer number (380521260).

Almost surely, 220850607360 is an apocalyptic number.

20850607360 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 20850607360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27397530720).

20850607360 is an abundant number, since it is smaller than the sum of its proper divisors (33944454080).

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

20850607360 is a wasteful number, since it uses less digits than its factorization.

20850607360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8484 (or 8470 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 20850607360 in words is "twenty billion, eight hundred fifty million, six hundred seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 179 220 256 320 352 358 440 640 704 716 880 895 1280 1408 1432 1760 1790 1969 2816 2864 3520 3580 3938 5728 7040 7160 7876 8273 9845 11456 14080 14320 15752 16546 19690 22912 28640 31504 33092 39380 41365 45824 57280 63008 66184 78760 82730 91003 114560 126016 132368 157520 165460 182006 229120 252032 264736 315040 330920 364012 455015 504064 529472 630080 661840 728024 910030 1058944 1260160 1323680 1456048 1480867 1820060 2117888 2520320 2647360 2912096 2961734 3640120 5294720 5824192 5923468 7280240 7404335 10589440 11648384 11846936 14560480 14808670 16289537 23296768 23693872 29120960 29617340 32579074 47387744 58241920 59234680 65158148 81447685 94775488 116483840 118469360 130316296 162895370 189550976 236938720 260632592 325790740 379101952 473877440 521265184 651581480 947754880 1042530368 1303162960 1895509760 2085060736 2606325920 4170121472 5212651840 10425303680 20850607360