Search a number
-
+
488580244312992 = 253131934795038419
BaseRepresentation
bin110111100010111000111001…
…1111010000001001110100000
32101001220211000021112201021220
41233011301303322001032200
51003014344320021003432
64451042355441015040
7204624520630261146
oct15705616372011640
92331824007481256
10488580244312992
11131749799721507
124696a15b324480
1317c80bc4a579a0
1488915a5075596
153b7416028d72c
hex1bc5c73e813a0

488580244312992 has 384 divisors, whose sum is σ = 1394164987084800. Its totient is φ = 148926844698624.

The previous prime is 488580244312957. The next prime is 488580244313251. The reversal of 488580244312992 is 299213442085884.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58033045359 + ... + 58033053777.

It is an arithmetic number, because the mean of its divisors is an integer number (3630637987200).

Almost surely, 2488580244312992 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 488580244312992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697082493542400).

488580244312992 is an abundant number, since it is smaller than the sum of its proper divisors (905584742771808).

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

488580244312992 is a wasteful number, since it uses less digits than its factorization.

488580244312992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9620 (or 9612 counting only the distinct ones).

The product of its (nonzero) digits is 318504960, while the sum is 69.

The spelling of 488580244312992 in words is "four hundred eighty-eight trillion, five hundred eighty billion, two hundred forty-four million, three hundred twelve thousand, nine hundred ninety-two".