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2039974564992 = 273713192237989
BaseRepresentation
bin11101101011110111111…
…101011001010010000000
321020000112100001011012020
4131223313331121102000
5231410331442034432
64201052410401440
7300245320462230
oct35536775312200
97200470034166
102039974564992
1171716a507161
1228b43b430280
1311a4a427c720
1470a41919cc0
15380e763d22c
hex1daf7f59480

2039974564992 has 1536 divisors, whose sum is σ = 7521196032000. Its totient is φ = 475957886976.

The previous prime is 2039974564961. The next prime is 2039974565021. The reversal of 2039974564992 is 2994654799302.

It is a super-2 number, since 2×20399745649922 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 22921062484 + ... + 22921062572.

It is an arithmetic number, because the mean of its divisors is an integer number (4896612000).

Almost surely, 22039974564992 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 2039974564992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3760598016000).

2039974564992 is an abundant number, since it is smaller than the sum of its proper divisors (5481221467008).

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

2039974564992 is a wasteful number, since it uses less digits than its factorization.

2039974564992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 69.

The spelling of 2039974564992 in words is "two trillion, thirty-nine billion, nine hundred seventy-four million, five hundred sixty-four thousand, nine hundred ninety-two".