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49972032000 = 293353112239
BaseRepresentation
bin101110100010100100…
…001011001000000000
311202222122012020202000
4232202210023020000
51304320320011000
634542402024000
73416232156252
oct564244131000
9152878166660
1049972032000
111a213a00300
129827648000
134935029907
1425c0b2dcd2
1514771bd000
hexba290b200

49972032000 has 960 divisors, whose sum is σ = 203761958400. Its totient is φ = 12063744000.

The previous prime is 49972031971. The next prime is 49972032007. The reversal of 49972032000 is 23027994.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49972032007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 209087881 + ... + 209088119.

It is an arithmetic number, because the mean of its divisors is an integer number (212252040).

Almost surely, 249972032000 is an apocalyptic number.

49972032000 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 49972032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101880979200).

49972032000 is an abundant number, since it is smaller than the sum of its proper divisors (153789926400).

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

49972032000 is a wasteful number, since it uses less digits than its factorization.

49972032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

Adding to 49972032000 its reverse (23027994), we get a palindrome (49995059994).

The spelling of 49972032000 in words is "forty-nine billion, nine hundred seventy-two million, thirty-two thousand".