Search a number
-
+
88506709340 = 225717192313323
BaseRepresentation
bin101001001101101101…
…0010011010101011100
322110110011222200102212
41102123122103111130
52422230204144330
6104354233535552
76252164421320
oct1223332232534
9273404880385
1088506709340
1134598803785
12151a08745b8
13846663bb3a
1443d8863980
15248020a295
hex149b69355c

88506709340 has 288 divisors, whose sum is σ = 245102505984. Its totient is φ = 26176296960.

The previous prime is 88506709337. The next prime is 88506709349. The reversal of 88506709340 is 4390760588.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88506709349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26632919 + ... + 26636241.

It is an arithmetic number, because the mean of its divisors is an integer number (851050368).

Almost surely, 288506709340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88506709340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122551252992).

88506709340 is an abundant number, since it is smaller than the sum of its proper divisors (156595796644).

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

88506709340 is a wasteful number, since it uses less digits than its factorization.

88506709340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3425 (or 3404 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 50.

The spelling of 88506709340 in words is "eighty-eight billion, five hundred six million, seven hundred nine thousand, three hundred forty".