Search a number
-
+
5416558022500 = 22548925232
BaseRepresentation
bin100111011010010010000…
…0001000100111101100100
3201011211002020112012011121
41032310210001010331210
51202221102323210000
615304155444343324
71066222233350212
oct116644401047544
921154066465147
105416558022500
1117a9170881279
127359223a4b44
13303a18c77751
1414a23ca57cb2
1595d6cadab1a
hex4ed24044f64

5416558022500 has 135 divisors (see below), whose sum is σ = 12002462733261. Its totient is φ = 2138182992000.

The previous prime is 5416558022483. The next prime is 5416558022501. The reversal of 5416558022500 is 52208556145.

The square root of 5416558022500 is 2327350.

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

It can be written as a sum of positive squares in 7 ways, for example, as 5261876278884 + 154681743616 = 2293878^2 + 393296^2 .

It is a super-2 number, since 2×54165580225002 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5416558022501) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10356707239 + ... + 10356707761.

Almost surely, 25416558022500 is an apocalyptic number.

5416558022500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5416558022500 is the 2327350-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5416558022500

5416558022500 is an abundant number, since it is smaller than the sum of its proper divisors (6585904710761).

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

5416558022500 is an frugal number, since it uses more digits than its factorization.

5416558022500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 43.

The spelling of 5416558022500 in words is "five trillion, four hundred sixteen billion, five hundred fifty-eight million, twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 125 178 250 356 445 500 523 625 890 1046 1250 1780 2092 2225 2500 2615 4450 5230 7921 8900 10460 11125 13075 15842 22250 26150 31684 39605 44500 46547 52300 55625 65375 79210 93094 111250 130750 158420 186188 198025 222500 232735 261500 273529 326875 396050 465470 547058 653750 792100 930940 990125 1094116 1163675 1307500 1367645 1980250 2327350 2735290 3960500 4142683 4654700 4950625 5470580 5818375 6838225 8285366 9901250 11636750 13676450 16570732 19802500 20713415 23273500 24344081 27352900 29091875 34191125 41426830 48688162 58183750 68382250 82853660 97376324 103567075 116367500 121720405 136764500 170955625 207134150 243440810 341911250 414268300 486881620 517835375 608602025 683822500 1035670750 1217204050 2071341500 2166623209 2434408100 2589176875 3043010125 4333246418 5178353750 6086020250 8666492836 10356707500 10833116045 12172040500 15215050625 21666232090 30430101250 43332464180 54165580225 60860202500 108331160450 216662320900 270827901125 541655802250 1083311604500 1354139505625 2708279011250 5416558022500