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488169014112 = 25351322331521
BaseRepresentation
bin1110001101010010010…
…01000000001101100000
31201200001100010100200000
413012221021000031200
530444232231422422
61012132312100000
750161166104203
oct7065111001540
91650040110600
10488169014112
1117903875570a
127a73a994600
133705a011900
14198adc3d93a
15ca7214acac
hex71a9240360

488169014112 has 864 divisors, whose sum is σ = 1682382514176. Its totient is φ = 138773606400.

The previous prime is 488169014093. The next prime is 488169014131. The reversal of 488169014112 is 211410961884.

488169014112 is a `hidden beast` number, since 488 + 16 + 9 + 0 + 141 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (488169014093) and next prime (488169014131).

It is a tau number, because it is divible by the number of its divisors (864).

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, 936984412 + ... + 936984932.

It is an arithmetic number, because the mean of its divisors is an integer number (1947201984).

Almost surely, 2488169014112 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 488169014112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841191257088).

488169014112 is an abundant number, since it is smaller than the sum of its proper divisors (1194213500064).

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

488169014112 is a wasteful number, since it uses less digits than its factorization.

488169014112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

Adding to 488169014112 its reverse (211410961884), we get a palindrome (699579975996).

The spelling of 488169014112 in words is "four hundred eighty-eight billion, one hundred sixty-nine million, fourteen thousand, one hundred twelve".