Search a number
-
+
325141690161600 = 26335213244535077
BaseRepresentation
bin100100111101101101111001…
…0111100011001100111000000
31120122020020112102120012112000
41021323123302330121213000
5320104110140140132400
63111304010322504000
7125325466121001234
oct11173336274314700
91518206472505460
10325141690161600
11946668a8740624
123057277a205000
1310c56964555200
145a40d2830c5c4
15278ca351e6600
hex127b6f2f199c0

325141690161600 has 504 divisors, whose sum is σ = 1283449287269520. Its totient is φ = 80034875781120.

The previous prime is 325141690161583. The next prime is 325141690161653. The reversal of 325141690161600 is 6161096141523.

325141690161600 is a `hidden beast` number, since 3 + 2 + 5 + 14 + 16 + 9 + 0 + 1 + 616 + 0 + 0 = 666.

It is a super-2 number, since 2×3251416901616002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14966739 + ... + 29568338.

It is an arithmetic number, because the mean of its divisors is an integer number (2546526363630).

Almost surely, 2325141690161600 is an apocalyptic number.

325141690161600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

325141690161600 is an abundant number, since it is smaller than the sum of its proper divisors (958307597107920).

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

325141690161600 is a wasteful number, since it uses less digits than its factorization.

325141690161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44535134 (or 44535100 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 325141690161600 in words is "three hundred twenty-five trillion, one hundred forty-one billion, six hundred ninety million, one hundred sixty-one thousand, six hundred".