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158252000480 = 2557232475683
BaseRepresentation
bin1001001101100010001…
…1011110010011100000
3120010110212001120102222
42103120203132103200
510043100003003410
6200411105330212
714301426544460
oct2233043362340
9503425046388
10158252000480
1161129146262
1226806336968
1311c00085692
1479336d5ba0
1541b32a6955
hex24d88de4e0

158252000480 has 288 divisors, whose sum is σ = 456249314304. Its totient is φ = 50785625088.

The previous prime is 158252000447. The next prime is 158252000509. The reversal of 158252000480 is 84000252851.

It is a happy number.

158252000480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 3978092-1.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 158252000480.

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 47 ways as a sum of consecutive naturals, for example, 27843719 + ... + 27849401.

It is an arithmetic number, because the mean of its divisors is an integer number (1584199008).

Almost surely, 2158252000480 is an apocalyptic number.

158252000480 is a gapful number since it is divisible by the number (10) 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 158252000480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228124657152).

158252000480 is an abundant number, since it is smaller than the sum of its proper divisors (297997313824).

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

158252000480 is a wasteful number, since it uses less digits than its factorization.

158252000480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5798 (or 5767 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 35.

The spelling of 158252000480 in words is "one hundred fifty-eight billion, two hundred fifty-two million, four hundred eighty", and thus it is an aban number.