Search a number
-
+
87424275240 = 233854361127
BaseRepresentation
bin101000101101011100…
…1001001001100101000
322100122202012100000000
41101122321021030220
52413021103301430
6104055005343000
76213312035631
oct1213271111450
9270582170000
1087424275240
11340927a6a45
1214b3a267a60
1383232cb6a3
144334bb8888
15241a193e60
hex145ae49328

87424275240 has 576 divisors, whose sum is σ = 309268776960. Its totient is φ = 22221319680.

The previous prime is 87424275227. The next prime is 87424275251. The reversal of 87424275240 is 4257242478.

87424275240 is a `hidden beast` number, since 87 + 4 + 2 + 42 + 7 + 524 + 0 = 666.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 688380057 + ... + 688380183.

It is an arithmetic number, because the mean of its divisors is an integer number (536924960).

Almost surely, 287424275240 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 87424275240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154634388480).

87424275240 is an abundant number, since it is smaller than the sum of its proper divisors (221844501720).

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

87424275240 is a wasteful number, since it uses less digits than its factorization.

87424275240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 45.

The spelling of 87424275240 in words is "eighty-seven billion, four hundred twenty-four million, two hundred seventy-five thousand, two hundred forty".