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42776503380 = 223451312171669
BaseRepresentation
bin100111110101101011…
…011010010001010100
311002102011112112010000
4213311223122101110
51200101241102010
631352400531300
73043020164562
oct476553322124
9132364475100
1042776503380
1117161248136
128359920b30
134059373980
1420db236a32
1511a562e7c0
hex9f5ada454

42776503380 has 240 divisors, whose sum is σ = 144719300880. Its totient is φ = 10514644992.

The previous prime is 42776503369. The next prime is 42776503403. The reversal of 42776503380 is 8330567724.

42776503380 is a `hidden beast` number, since 42 + 7 + 76 + 503 + 38 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4578146244 + 38198357136 = 67662^2 + 195444^2 .

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 (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25629186 + ... + 25630854.

It is an arithmetic number, because the mean of its divisors is an integer number (602997087).

Almost surely, 242776503380 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 42776503380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72359650440).

42776503380 is an abundant number, since it is smaller than the sum of its proper divisors (101942797500).

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

42776503380 is a wasteful number, since it uses less digits than its factorization.

42776503380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 42776503380 in words is "forty-two billion, seven hundred seventy-six million, five hundred three thousand, three hundred eighty".