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486008601512148 = 2234111321482154443
BaseRepresentation
bin110111010000001011011001…
…0000011010000100011010100
32100201210222011001220210010000
41232200112302003100203110
51002200231103441342043
64441353134054531300
7204240651133162101
oct15640266203204324
92321728131823100
10486008601512148
111309480aa376610
1246613881366b30
1317b2555078ab00
148802d28513aa8
153b2c2ebc162d3
hex1ba05b20d08d4

486008601512148 has 360 divisors, whose sum is σ = 1500971964107616. Its totient is φ = 135934792531200.

The previous prime is 486008601512143. The next prime is 486008601512171. The reversal of 486008601512148 is 841215106800684.

486008601512148 is a `hidden beast` number, since 4 + 8 + 6 + 0 + 0 + 8 + 601 + 5 + 1 + 21 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 486008601512094 and 486008601512103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486008601512143) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8926898215 + ... + 8926952657.

Almost surely, 2486008601512148 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 486008601512148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750485982053808).

486008601512148 is an abundant number, since it is smaller than the sum of its proper divisors (1014963362595468).

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

486008601512148 is a wasteful number, since it uses less digits than its factorization.

486008601512148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69317 (or 69293 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 486008601512148 in words is "four hundred eighty-six trillion, eight billion, six hundred one million, five hundred twelve thousand, one hundred forty-eight".