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49995225907200 = 2143752721767
BaseRepresentation
bin10110101111000011010111…
…01011100100000000000000
320120000111102020212020000000
423113201223223210000000
523023110210313012300
6254155253440000000
713350015206332200
oct1327415353440000
9216014366766000
1049995225907200
1114a25946719552
1257354b0000000
1321b86b661c7b2
14c4bad3550400
155ba75597dc00
hex2d786bae4000

49995225907200 has 4320 divisors, whose sum is σ = 232449433534080. Its totient is φ = 10594748989440.

The previous prime is 49995225907171. The next prime is 49995225907219. The reversal of 49995225907200 is 270952259994.

49995225907200 is a `hidden beast` number, since 4 + 99 + 95 + 2 + 259 + 0 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-2 number, since 2×499952259072002 (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 746197401567 + ... + 746197401633.

It is an arithmetic number, because the mean of its divisors is an integer number (53807739244).

Almost surely, 249995225907200 is an apocalyptic number.

49995225907200 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 49995225907200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116224716767040).

49995225907200 is an abundant number, since it is smaller than the sum of its proper divisors (182454207626880).

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

49995225907200 is an frugal number, since it uses more digits than its factorization.

49995225907200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

The spelling of 49995225907200 in words is "forty-nine trillion, nine hundred ninety-five billion, two hundred twenty-five million, nine hundred seven thousand, two hundred".