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2093745024 = 27347171697
BaseRepresentation
bin111110011001100…
…0000001110000000
312101220202021020000
41330303000032000
513241444320044
6543432120000
7102612352620
oct17463001600
95356667200
102093745024
11984956698
124a5236000
13274a0aaa7
1415c0dc880
15c3c2dd69
hex7ccc0380

2093745024 has 320 divisors, whose sum is σ = 7544417760. Its totient is φ = 562692096.

The previous prime is 2093745013. The next prime is 2093745061. The reversal of 2093745024 is 4205473902.

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2093745024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1232944 + ... + 1234640.

Almost surely, 22093745024 is an apocalyptic number.

2093745024 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 2093745024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3772208880).

2093745024 is an abundant number, since it is smaller than the sum of its proper divisors (5450672736).

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

2093745024 is a wasteful number, since it uses less digits than its factorization.

2093745024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2093745024 is about 45757.4586706911. The cubic root of 2093745024 is about 1279.3064732611.

The spelling of 2093745024 in words is "two billion, ninety-three million, seven hundred forty-five thousand, twenty-four".