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84752241900480 = 2634571149738539
BaseRepresentation
bin10011010001010011101011…
…010001011011101111000000
3102010002020100110101122020000
4103101103223101123233000
542102040042411303410
6500130350433120000
723565101363563650
oct2321235321335700
9363066313348200
1084752241900480
1125006251080470
1296096763b9000
13383a14347981b
1416d005d592360
159be901087dc0
hex4d14eb45bbc0

84752241900480 has 1120 divisors, whose sum is σ = 375989075320320. Its totient is φ = 17605252177920.

The previous prime is 84752241900419. The next prime is 84752241900481. The reversal of 84752241900480 is 8400914225748.

84752241900480 is a `hidden beast` number, since 8 + 4 + 7 + 52 + 24 + 1 + 90 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84752241900481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9925308051 + ... + 9925316589.

It is an arithmetic number, because the mean of its divisors is an integer number (335704531536).

Almost surely, 284752241900480 is an apocalyptic number.

84752241900480 is a gapful number since it is divisible by the number (80) 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 84752241900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187994537660160).

84752241900480 is an abundant number, since it is smaller than the sum of its proper divisors (291236833419840).

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

84752241900480 is a wasteful number, since it uses less digits than its factorization.

84752241900480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13559 (or 13540 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 84752241900480 in words is "eighty-four trillion, seven hundred fifty-two billion, two hundred forty-one million, nine hundred thousand, four hundred eighty".