Search a number
-
+
27321463231400 = 23521383126605483
BaseRepresentation
bin1100011011001010001100…
…00111000101001110101000
310120201220110202012122011102
412031211012013011032220
512040113324041401100
6134035150144220532
75516624220460232
oct615450607051650
9116656422178142
1027321463231400
118783a707a8048
1230930ba90a748
131232531303090
146a6519d6d252
15325a62194cd5
hex18d9461c53a8

27321463231400 has 96 divisors (see below), whose sum is σ = 69232942870560. Its totient is φ = 9966383543040.

The previous prime is 27321463231357. The next prime is 27321463231411. The reversal of 27321463231400 is 413236412372.

27321463231400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×273214632314003 (a number of 41 digits) contains 333 as substring.

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, 63086942 + ... + 63518541.

It is an arithmetic number, because the mean of its divisors is an integer number (721176488235).

Almost surely, 227321463231400 is an apocalyptic number.

27321463231400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27321463231400 is an abundant number, since it is smaller than the sum of its proper divisors (41911479639160).

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

27321463231400 is a wasteful number, since it uses less digits than its factorization.

27321463231400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126605595 (or 126605586 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 38.

Adding to 27321463231400 its reverse (413236412372), we get a palindrome (27734699643772).

The spelling of 27321463231400 in words is "twenty-seven trillion, three hundred twenty-one billion, four hundred sixty-three million, two hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 83 100 104 130 166 200 260 325 332 415 520 650 664 830 1079 1300 1660 2075 2158 2600 3320 4150 4316 5395 8300 8632 10790 16600 21580 26975 43160 53950 107900 215800 126605483 253210966 506421932 633027415 1012843864 1266054830 1645871279 2532109660 3165137075 3291742558 5064219320 6330274150 6583485116 8229356395 10508255089 12660548300 13166970232 16458712790 21016510178 25321096600 32917425580 41146781975 42033020356 52541275445 65834851160 82293563950 84066040712 105082550890 136607316157 164587127900 210165101780 262706377225 273214632314 329174255800 420330203560 525412754450 546429264628 683036580785 1050825508900 1092858529256 1366073161570 2101651017800 2732146323140 3415182903925 5464292646280 6830365807850 13660731615700 27321463231400