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2001674026944 = 26341961932831
BaseRepresentation
bin11101001000001101000…
…100011011111111000000
321002100200002211020020000
4131020031010123333000
5230243412022330234
64131320101120000
7264421230333054
oct35101504337700
97070602736200
102001674026944
117019a5894029
12283b306b9000
131169ac318867
146cc4ad33c64
1537104e50899
hex1d20d11bfc0

2001674026944 has 280 divisors, whose sum is σ = 6256163865600. Its totient is φ = 631067189760.

The previous prime is 2001674026939. The next prime is 2001674027021. The reversal of 2001674026944 is 4496204761002.

2001674026944 is a `hidden beast` number, since 20 + 0 + 167 + 402 + 69 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2001674026944.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 60952609 + ... + 60985439.

Almost surely, 22001674026944 is an apocalyptic number.

2001674026944 is a gapful number since it is divisible by the number (24) 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 2001674026944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3128081932800).

2001674026944 is an abundant number, since it is smaller than the sum of its proper divisors (4254489838656).

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

2001674026944 is a wasteful number, since it uses less digits than its factorization.

2001674026944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33493 (or 33474 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

Adding to 2001674026944 its reverse (4496204761002), we get a palindrome (6497878787946).

The spelling of 2001674026944 in words is "two trillion, one billion, six hundred seventy-four million, twenty-six thousand, nine hundred forty-four".