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20383689928900 = 225250928872
BaseRepresentation
bin1001010001001111100101…
…00110001111000011000100
32200011122212101202102021011
410220213302212033003010
510132431244110211100
6111204045440532004
74202446560426124
oct450476246170304
980148771672234
1020383689928900
116549746621631
1223525b4621004
13b4b23485301c
1450680c216c84
1525535e93abba
hex1289f298f0c4

20383689928900 has 81 divisors (see below), whose sum is σ = 44369701018279. Its totient is φ = 8128283220160.

The previous prime is 20383689928883. The next prime is 20383689928913. The reversal of 20383689928900 is 982998638302.

The square root of 20383689928900 is 4514830.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 777356095684 + 19606333833216 = 881678^2 + 4427904^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22980484257 + ... + 22980485143.

Almost surely, 220383689928900 is an apocalyptic number.

20383689928900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20383689928900 is the 4514830-th square number.

It is an amenable number.

20383689928900 is an abundant number, since it is smaller than the sum of its proper divisors (23986011089379).

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

20383689928900 is an frugal number, since it uses more digits than its factorization.

20383689928900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2806 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 67.

The spelling of 20383689928900 in words is "twenty trillion, three hundred eighty-three billion, six hundred eighty-nine million, nine hundred twenty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 509 887 1018 1774 2036 2545 3548 4435 5090 8870 10180 12725 17740 22175 25450 44350 50900 88700 259081 451483 518162 786769 902966 1036324 1295405 1573538 1805932 2257415 2590810 3147076 3933845 4514830 5181620 6477025 7867690 9029660 11287075 12954050 15735380 19669225 22574150 25908100 39338450 45148300 78676900 229804847 400465421 459609694 800930842 919219388 1149024235 1601861684 2002327105 2298048470 4004654210 4596096940 5745121175 8009308420 10011635525 11490242350 20023271050 22980484700 40046542100 203836899289 407673798578 815347597156 1019184496445 2038368992890 4076737985780 5095922482225 10191844964450 20383689928900