Search a number
-
+
27148196897325 = 3352721112721767
BaseRepresentation
bin1100010110000111011101…
…01000011110001000101101
310120010100020112000220001000
412023003232220132020231
512024244001401203300
6133423413125310513
75501251425104220
oct613035650361055
9116110215026030
1027148196897325
11871753843a829
123065604265439
13121c0aa75344a
1469bda05a15b7
153212c0be6c00
hex18b0eea1e22d

27148196897325 has 96 divisors (see below), whose sum is σ = 57023870238720. Its totient is φ = 12404720721600.

The previous prime is 27148196897321. The next prime is 27148196897347. The reversal of 27148196897325 is 52379869184172.

27148196897325 is a `hidden beast` number, since 2 + 7 + 148 + 19 + 68 + 97 + 325 = 666.

It is not a de Polignac number, because 27148196897325 - 22 = 27148196897321 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27148196897321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8613592 + ... + 11335358.

It is an arithmetic number, because the mean of its divisors is an integer number (593998648320).

Almost surely, 227148196897325 is an apocalyptic number.

27148196897325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

27148196897325 is an abundant number, since it is smaller than the sum of its proper divisors (29875673341395).

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

27148196897325 is a wasteful number, since it uses less digits than its factorization.

27148196897325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2723904 (or 2723893 counting only the distinct ones).

The product of its digits is 365783040, while the sum is 72.

The spelling of 27148196897325 in words is "twenty-seven trillion, one hundred forty-eight billion, one hundred ninety-six million, eight hundred ninety-seven thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 135 175 189 225 315 525 675 945 1575 2111 4725 6333 10555 14777 18999 31665 44331 52775 56997 73885 94995 132993 158325 221655 284985 369425 398979 474975 664965 1108275 1424925 1994895 2721767 3324825 8165301 9974475 13608835 19052369 24495903 40826505 57157107 68044175 73487709 95261845 122479515 171471321 204132525 285785535 367438545 476309225 514413963 612397575 857356605 1428927675 1837192725 2572069815 4286783025 5745650137 12860349075 17236950411 28728250685 40219550959 51710851233 86184752055 120658652877 143641253425 155132553699 201097754795 258554256165 361975958631 430923760275 603293264385 775662768495 1005488773975 1085927875893 1292771280825 1809879793155 3016466321925 3878313842475 5429639379465 9049398965775 27148196897325