Search a number
-
+
21515410554320 = 2452081500925801
BaseRepresentation
bin1001110010001011100100…
…11001110011110111010000
32211011212000221202220201102
410321011302121303313100
510310002030100214240
6113432013153323532
74350302634140144
oct471056231636720
984155027686642
1021515410554320
1169456a8396a31
1224b59b75665a8
13c00b82311927
145454cc45d224
152749ea0e0815
hex139172673dd0

21515410554320 has 80 divisors (see below), whose sum is σ = 50059299281040. Its totient is φ = 8599977984000.

The previous prime is 21515410554293. The next prime is 21515410554353. The reversal of 21515410554320 is 2345501451512.

It can be written as a sum of positive squares in 8 ways, for example, as 397010887744 + 21118399666576 = 630088^2 + 4595476^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 833885420 + ... + 833911220.

It is an arithmetic number, because the mean of its divisors is an integer number (625741241013).

Almost surely, 221515410554320 is an apocalyptic number.

21515410554320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21515410554320 is an abundant number, since it is smaller than the sum of its proper divisors (28543888726720).

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

21515410554320 is a wasteful number, since it uses less digits than its factorization.

21515410554320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32904 (or 32898 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 38.

The spelling of 21515410554320 in words is "twenty-one trillion, five hundred fifteen billion, four hundred ten million, five hundred fifty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2081 4162 5009 8324 10018 10405 16648 20036 20810 25045 25801 33296 40072 41620 50090 51602 80144 83240 100180 103204 129005 166480 200360 206408 258010 400720 412816 516020 1032040 2064080 10423729 20847458 41694916 52118645 53691881 83389832 104237290 107383762 129237209 166779664 208474580 214767524 258474418 268459405 416949160 429535048 516948836 536918810 646186045 833898320 859070096 1033897672 1073837620 1292372090 2067795344 2147675240 2584744180 4295350480 5169488360 10338976720 268942631929 537885263858 1075770527716 1344713159645 2151541055432 2689426319290 4303082110864 5378852638580 10757705277160 21515410554320