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2475670488480 = 253257279444127
BaseRepresentation
bin100100000001101001011…
…101011100010110100000
322202200010201210022200100
4210001221131130112200
5311030133121112410
65133150214222400
7343601264642100
oct44015135342640
98680121708610
102475670488480
11874a204a5172
1233b975054a00
1314c5bb054487
1487b747c1200
15445e7c318c0
hex2406975c5a0

2475670488480 has 432 divisors, whose sum is σ = 9951949163520. Its totient is φ = 558703401984.

The previous prime is 2475670488479. The next prime is 2475670488541. The reversal of 2475670488480 is 848840765742.

2475670488480 is a `hidden beast` number, since 2 + 4 + 7 + 5 + 6 + 70 + 4 + 88 + 480 = 666.

It is a super-2 number, since 2×24756704884802 (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5352177 + ... + 5796303.

It is an arithmetic number, because the mean of its divisors is an integer number (23036919360).

Almost surely, 22475670488480 is an apocalyptic number.

2475670488480 is a gapful number since it is divisible by the number (20) 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 2475670488480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4975974581760).

2475670488480 is an abundant number, since it is smaller than the sum of its proper divisors (7476278675040).

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

2475670488480 is a wasteful number, since it uses less digits than its factorization.

2475670488480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444241 (or 444223 counting only the distinct ones).

The product of its (nonzero) digits is 96337920, while the sum is 63.

The spelling of 2475670488480 in words is "two trillion, four hundred seventy-five billion, six hundred seventy million, four hundred eighty-eight thousand, four hundred eighty".