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20147598250192 = 2472921975931831
BaseRepresentation
bin1001001010010111110100…
…11011111101000011010000
32122100002110202121111011201
410211023322123331003100
510120044240123001232
6110503402344520544
74146421160321050
oct445137233750320
978302422544151
1020147598250192
116468603a68a96
1223148a5a80154
13b31bab0b3c5a
144d9212a55560
1524e142b95be7
hex1252fa6fd0d0

20147598250192 has 240 divisors, whose sum is σ = 46542203465472. Its totient is φ = 8276107714560.

The previous prime is 20147598250123. The next prime is 20147598250193. The reversal of 20147598250192 is 29105289574102.

It is a super-2 number, since 2×201475982501922 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20147598250193) 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 47 ways as a sum of consecutive naturals, for example, 11003602717 + ... + 11003604547.

Almost surely, 220147598250192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20147598250192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23271101732736).

20147598250192 is an abundant number, since it is smaller than the sum of its proper divisors (26394605215280).

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

20147598250192 is a wasteful number, since it uses less digits than its factorization.

20147598250192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694 (or 2659 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 55.

The spelling of 20147598250192 in words is "twenty trillion, one hundred forty-seven billion, five hundred ninety-eight million, two hundred fifty thousand, one hundred ninety-two".