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2045011670352 = 243372331291869
BaseRepresentation
bin11101110000100100001…
…100011011010101010000
321020111112101020121202000
4131300210030123111100
5232001140441422402
64203244305154000
7300514203250500
oct35604414332520
97214471217660
102045011670352
11719314857a52
1229040632b900
1311aac7a00441
1470d9c8b9a00
15382de973c1c
hex1dc2431b550

2045011670352 has 240 divisors, whose sum is σ = 6848951371200. Its totient is φ = 582521829120.

The previous prime is 2045011670333. The next prime is 2045011670353. The reversal of 2045011670352 is 2530761105402.

2045011670352 is a `hidden beast` number, since 20 + 4 + 501 + 16 + 70 + 3 + 52 = 666.

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 (2045011670353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6860674 + ... + 7152542.

It is an arithmetic number, because the mean of its divisors is an integer number (28537297380).

Almost surely, 22045011670352 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 2045011670352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3424475685600).

2045011670352 is an abundant number, since it is smaller than the sum of its proper divisors (4803939700848).

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

2045011670352 is a wasteful number, since it uses less digits than its factorization.

2045011670352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292231 (or 292212 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Adding to 2045011670352 its reverse (2530761105402), we get a palindrome (4575772775754).

The spelling of 2045011670352 in words is "two trillion, forty-five billion, eleven million, six hundred seventy thousand, three hundred fifty-two".