Search a number
-
+
488828115000 = 2334541770999
BaseRepresentation
bin1110001110100000110…
…11010001100000111000
31201201202021100011010000
413013100123101200320
531002104444140000
61012321534553000
750213421264141
oct7072033214070
91651667304100
10488828115000
111793467aa995
127a8a3668760
1337133731134
14199335acac8
15caaee40000
hex71d06d1838

488828115000 has 400 divisors, whose sum is σ = 1811584170000. Its totient is φ = 122684544000.

The previous prime is 488828114989. The next prime is 488828115023. The reversal of 488828115000 is 511828884.

488828115000 is a `hidden beast` number, since 48 + 88 + 28 + 1 + 1 + 500 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 6849501 + ... + 6920499.

It is an arithmetic number, because the mean of its divisors is an integer number (4528960425).

Almost surely, 2488828115000 is an apocalyptic number.

488828115000 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 488828115000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905792085000).

488828115000 is an abundant number, since it is smaller than the sum of its proper divisors (1322756055000).

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

488828115000 is a wasteful number, since it uses less digits than its factorization.

488828115000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71054 (or 71026 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 45.

The spelling of 488828115000 in words is "four hundred eighty-eight billion, eight hundred twenty-eight million, one hundred fifteen thousand".