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48488565142080 = 26335721938315739
BaseRepresentation
bin10110000011001100111111…
…01100110111001001000000
320100200110110110211011021000
423001212133230313021000
522323414040134021310
6251043201142532000
713133116563204300
oct1301463754671100
9210613413734230
1048488565142080
11144a4980a237a8
1255314aa437000
1321095b528756b
14bd8c05431600
155914739794c0
hex2c199fb37240

48488565142080 has 1344 divisors, whose sum is σ = 210017636352000. Its totient is φ = 10471699574784.

The previous prime is 48488565142063. The next prime is 48488565142093. The reversal of 48488565142080 is 8024156588484.

48488565142080 is a `hidden beast` number, since 4 + 8 + 4 + 8 + 85 + 6 + 51 + 420 + 80 = 666.

48488565142080 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×484885651420802 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 48488565141999 and 48488565142017.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3080782851 + ... + 3080798589.

Almost surely, 248488565142080 is an apocalyptic number.

48488565142080 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 48488565142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105008818176000).

48488565142080 is an abundant number, since it is smaller than the sum of its proper divisors (161529071209920).

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

48488565142080 is a wasteful number, since it uses less digits than its factorization.

48488565142080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16181 (or 16158 counting only the distinct ones).

The product of its (nonzero) digits is 78643200, while the sum is 63.

The spelling of 48488565142080 in words is "forty-eight trillion, four hundred eighty-eight billion, five hundred sixty-five million, one hundred forty-two thousand, eighty".