Search a number
-
+
275505087900 = 223527317357973
BaseRepresentation
bin1000000001001010110…
…00100000010110011100
3222100010102102120021110
410000211120200112130
514003213300303100
6330322034102020
725622162415420
oct4004530402634
9870112376243
10275505087900
11a6928492299
124548a11a910
131cc9813c293
14d497cb6b80
15727700c250
hex402562059c

275505087900 has 288 divisors, whose sum is σ = 953289207808. Its totient is φ = 60105369600.

The previous prime is 275505087853. The next prime is 275505087901. The reversal of 275505087900 is 9780505572.

It is a self number, because there is not a number n which added to its sum of digits gives 275505087900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275505087901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4723314 + ... + 4781286.

Almost surely, 2275505087900 is an apocalyptic number.

275505087900 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 275505087900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476644603904).

275505087900 is an abundant number, since it is smaller than the sum of its proper divisors (677784119908).

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

275505087900 is a wasteful number, since it uses less digits than its factorization.

275505087900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58101 (or 58094 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 48.

The spelling of 275505087900 in words is "two hundred seventy-five billion, five hundred five million, eighty-seven thousand, nine hundred".