Search a number
-
+
88327400000 = 2655729013
BaseRepresentation
bin101001001000010111…
…0010010101001000000
322102222200120211021012
41102100232102221000
52421343303300000
6104324350420052
76244556340500
oct1222056225100
9272880524235
1088327400000
1134506572a44
1215150801628
13843844a438
1443bcb09a00
15246e5db735
hex1490b92a40

88327400000 has 252 divisors, whose sum is σ = 254875663476. Its totient is φ = 30280320000.

The previous prime is 88327399973. The next prime is 88327400017. The reversal of 88327400000 is 472388.

It can be written as a sum of positive squares in 6 ways, for example, as 74193043456 + 14134356544 = 272384^2 + 118888^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 88327400000.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 9795494 + ... + 9804506.

It is an arithmetic number, because the mean of its divisors is an integer number (1011411363).

Almost surely, 288327400000 is an apocalyptic number.

88327400000 is a gapful number since it is divisible by the number (80) 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 88327400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127437831738).

88327400000 is an abundant number, since it is smaller than the sum of its proper divisors (166548263476).

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

88327400000 is an frugal number, since it uses more digits than its factorization.

88327400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9064 (or 9027 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

Adding to 88327400000 its reverse (472388), we get a palindrome (88327872388).

The spelling of 88327400000 in words is "eighty-eight billion, three hundred twenty-seven million, four hundred thousand".