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49375740943872 = 293273172318131
BaseRepresentation
bin10110011101000001011110…
…11111111101111000000000
320110211021102021121110202100
423032200233133331320000
522432433004140200442
6253002522515150400
713254164614122000
oct1316405737757000
9213737367543670
1049375740943872
11148071525a3682
1256554238a5400
13217215cc059b5
14c29b27572000
155a959a1cd84c
hex2ce82f7fde00

49375740943872 has 480 divisors, whose sum is σ = 166288397932800. Its totient is φ = 14098389258240.

The previous prime is 49375740943861. The next prime is 49375740943873. The reversal of 49375740943872 is 27834904757394.

49375740943872 is a `hidden beast` number, since 4 + 9 + 3 + 7 + 574 + 0 + 9 + 43 + 8 + 7 + 2 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 49375740943872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49375740943873) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2723268247 + ... + 2723286377.

It is an arithmetic number, because the mean of its divisors is an integer number (346434162360).

Almost surely, 249375740943872 is an apocalyptic number.

49375740943872 is a gapful number since it is divisible by the number (42) 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 49375740943872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83144198966400).

49375740943872 is an abundant number, since it is smaller than the sum of its proper divisors (116912656988928).

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

49375740943872 is a wasteful number, since it uses less digits than its factorization.

49375740943872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19899 (or 19866 counting only the distinct ones).

The product of its (nonzero) digits is 1280240640, while the sum is 72.

The spelling of 49375740943872 in words is "forty-nine trillion, three hundred seventy-five billion, seven hundred forty million, nine hundred forty-three thousand, eight hundred seventy-two".