Search a number
-
+
488830488160 = 25576150914057
BaseRepresentation
bin1110001110100001001…
…00010100111001100000
31201201202102210201110211
413013100210110321200
531002111101110120
61012322101503504
750213450410030
oct7072044247140
91651672721424
10488830488160
11179348080983
127a8a4411b94
1337134082381
1419933a298c0
15cab025d25a
hex71d0914e60

488830488160 has 192 divisors, whose sum is σ = 1344210215040. Its totient is φ = 164515921920.

The previous prime is 488830488127. The next prime is 488830488239. The reversal of 488830488160 is 61884038884.

It is a junction number, because it is equal to n+sod(n) for n = 488830488095 and 488830488104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34767852 + ... + 34781908.

It is an arithmetic number, because the mean of its divisors is an integer number (7001094870).

Almost surely, 2488830488160 is an apocalyptic number.

488830488160 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 488830488160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672105107520).

488830488160 is an abundant number, since it is smaller than the sum of its proper divisors (855379726880).

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

488830488160 is a wasteful number, since it uses less digits than its factorization.

488830488160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14649 (or 14641 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 58.

The spelling of 488830488160 in words is "four hundred eighty-eight billion, eight hundred thirty million, four hundred eighty-eight thousand, one hundred sixty".