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20403665838384 = 2431724873020231
BaseRepresentation
bin1001010001110100110010…
…10000010010000100110000
32200020120102112221202112120
410220322121100102010300
510133243201423312014
6111221151545554240
74204054601026233
oct450723120220460
980216375852476
1020403665838384
116557167497034
12235644a4a5980
13b500992446ca
1450778522b41a
15255b2d4e8ba9
hex128e99412130

20403665838384 has 120 divisors (see below), whose sum is σ = 56107405586688. Its totient is φ = 6388003906560.

The previous prime is 20403665838329. The next prime is 20403665838397. The reversal of 20403665838384 is 48383856630402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5245549 + ... + 8265779.

Almost surely, 220403665838384 is an apocalyptic number.

20403665838384 is a gapful number since it is divisible by the number (24) 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 20403665838384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28053702793344).

20403665838384 is an abundant number, since it is smaller than the sum of its proper divisors (35703739748304).

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

20403665838384 is a wasteful number, since it uses less digits than its factorization.

20403665838384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3020763 (or 3020740 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 60.

The spelling of 20403665838384 in words is "twenty trillion, four hundred three billion, six hundred sixty-five million, eight hundred thirty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 289 408 487 578 816 867 974 1156 1461 1734 1948 2312 2922 3468 3896 4624 5844 6936 7792 8279 11688 13872 16558 23376 24837 33116 49674 66232 99348 132464 140743 198696 281486 397392 422229 562972 844458 1125944 1688916 2251888 3020231 3377832 6040462 6755664 9060693 12080924 18121386 24161848 36242772 48323696 51343927 72485544 102687854 144971088 154031781 205375708 308063562 410751416 616127124 821502832 872846759 1232254248 1470852497 1745693518 2464508496 2618540277 2941704994 3491387036 4412557491 5237080554 5883409988 6982774072 8825114982 10474161108 11766819976 13965548144 17650229964 20948322216 23533639952 25004492449 35300459928 41896644432 50008984898 70600919856 75013477347 100017969796 150026954694 200035939592 300053909388 400071879184 425076371633 600107818776 850152743266 1200215637552 1275229114899 1700305486532 2550458229798 3400610973064 5100916459596 6801221946128 10201832919192 20403665838384