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88479540480 = 283519283769
BaseRepresentation
bin101001001100111001…
…0101010010100000000
322110101021212100202210
41102121302222110000
52422201230243410
6104351423342120
76251414453652
oct1223162522400
9273337770683
1088479540480
1134584437381
1215193751940
138460b186a6
1443d4dd06d2
15247cb40220
hex1499caa500

88479540480 has 432 divisors, whose sum is σ = 302222733120. Its totient is φ = 22054699008.

The previous prime is 88479540469. The next prime is 88479540497. The reversal of 88479540480 is 8404597488.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 88479540480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115057536 + ... + 115058304.

It is an arithmetic number, because the mean of its divisors is an integer number (699589660).

Almost surely, 288479540480 is an apocalyptic number.

88479540480 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 88479540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151111366560).

88479540480 is an abundant number, since it is smaller than the sum of its proper divisors (213743192640).

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

88479540480 is a wasteful number, since it uses less digits than its factorization.

88479540480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 57.

The spelling of 88479540480 in words is "eighty-eight billion, four hundred seventy-nine million, five hundred forty thousand, four hundred eighty".