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2044005442416 = 2432721190324337
BaseRepresentation
bin11101101111101000001…
…101111110001101110000
321020101221020211221111200
4131233220031332031300
5231442110343124131
64203000402211200
7300450234410400
oct35575015761560
97211836757450
102044005442416
11718948870013
12290185353b00
1311a9973c25b2
1470d04dca800
15382814622e6
hex1dbe837e370

2044005442416 has 180 divisors, whose sum is σ = 6655147828992. Its totient is φ = 583928497152.

The previous prime is 2044005442379. The next prime is 2044005442433. The reversal of 2044005442416 is 6142445004402.

2044005442416 is a `hidden beast` number, since 2 + 0 + 4 + 400 + 5 + 4 + 4 + 241 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 83975400 + ... + 83999736.

Almost surely, 22044005442416 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 2044005442416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3327573914496).

2044005442416 is an abundant number, since it is smaller than the sum of its proper divisors (4611142386576).

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

2044005442416 is a wasteful number, since it uses less digits than its factorization.

2044005442416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36268 (or 36252 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The spelling of 2044005442416 in words is "two trillion, forty-four billion, five million, four hundred forty-two thousand, four hundred sixteen".