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42847130880 = 2832518120549
BaseRepresentation
bin100111111001111000…
…110101010100000000
311002121002102202211100
4213321320311110000
51200222331142010
631403402414400
73044535413631
oct477170652400
9132532382740
1042847130880
11171980a7674
128379501400
13406aba1ca8
14210677d888
1511ab9312c0
hex9f9e35500

42847130880 has 216 divisors, whose sum is σ = 149072905800. Its totient is φ = 11362222080.

The previous prime is 42847130873. The next prime is 42847130923. The reversal of 42847130880 is 8803174824.

It can be written as a sum of positive squares in 4 ways, for example, as 3851940096 + 38995190784 = 62064^2 + 197472^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2074846 + ... + 2095394.

Almost surely, 242847130880 is an apocalyptic number.

42847130880 is a gapful number since it is divisible by the number (40) 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 42847130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74536452900).

42847130880 is an abundant number, since it is smaller than the sum of its proper divisors (106225774920).

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

42847130880 is a wasteful number, since it uses less digits than its factorization.

42847130880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20757 (or 20740 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 42847130880 in words is "forty-two billion, eight hundred forty-seven million, one hundred thirty thousand, eight hundred eighty".