Search a number
-
+
275196826080 = 25345115233691
BaseRepresentation
bin1000000000100110000…
…00100101000111100000
3222022022221101020120000
410000103000211013200
514002100341413310
6330231303020000
725611430266051
oct4002300450740
9868287336500
10275196826080
11a678a485660
1245402a3a600
131cc4930ab37
14d468d92728
157259e1a4c0
hex40130251e0

275196826080 has 480 divisors, whose sum is σ = 1061821208448. Its totient is φ = 66568780800.

The previous prime is 275196826043. The next prime is 275196826111. The reversal of 275196826080 is 80628691572.

275196826080 is a `hidden beast` number, since 2 + 7 + 519 + 68 + 2 + 60 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 74557035 + ... + 74560725.

Almost surely, 2275196826080 is an apocalyptic number.

275196826080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 275196826080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530910604224).

275196826080 is an abundant number, since it is smaller than the sum of its proper divisors (786624382368).

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

275196826080 is a wasteful number, since it uses less digits than its factorization.

275196826080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4252 (or 4235 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 275196826080 in words is "two hundred seventy-five billion, one hundred ninety-six million, eight hundred twenty-six thousand, eighty".