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42232716036 = 2234742332
BaseRepresentation
bin100111010101010001…
…000001101100000100
311001000021022021010000
4213111101001230010
51142443033403121
631222413401300
73023365110000
oct472521015404
9131007267100
1042232716036
1116a022a3705
128227799230
133ca07ca204
142088d23700
151172a17526
hex9d5441b04

42232716036 has 225 divisors, whose sum is σ = 129352927781. Its totient is φ = 12014702784.

The previous prime is 42232716023. The next prime is 42232716103. The reversal of 42232716036 is 63061723224.

The square root of 42232716036 is 205506.

It is a perfect power (a square), and thus also a powerful number.

42232716036 is a `hidden beast` number, since 4 + 2 + 23 + 27 + 1 + 603 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8576612100 + 33656103936 = 92610^2 + 183456^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 181256176 + ... + 181256408.

Almost surely, 242232716036 is an apocalyptic number.

42232716036 is the 205506-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42232716036

42232716036 is an abundant number, since it is smaller than the sum of its proper divisors (87120211745).

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

42232716036 is an frugal number, since it uses more digits than its factorization.

42232716036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

Multiplying 42232716036 by its sum of digits (36), we get a square (1520377777296 = 12330362).

42232716036 divided by its sum of digits (36) gives a square (1173131001 = 342512).

The spelling of 42232716036 in words is "forty-two billion, two hundred thirty-two million, seven hundred sixteen thousand, thirty-six".