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2083365057240 = 2332517733464419
BaseRepresentation
bin11110010100010010001…
…110111111001011011000
321101011112021220112200200
4132110102032333023120
5233113212423312430
64233030143302200
7303342504541125
oct36242216771330
97334467815620
102083365057240
11733606297205
1229792a8aa960
131215ca8a92cc
1472b9a4db74c
15392d6b00460
hex1e5123bf2d8

2083365057240 has 192 divisors, whose sum is σ = 7179022936800. Its totient is φ = 522169307136.

The previous prime is 2083365057239. The next prime is 2083365057247. The reversal of 2083365057240 is 427505633802.

2083365057240 is a `hidden beast` number, since 2 + 0 + 8 + 3 + 36 + 5 + 0 + 572 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2083365057247) 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, 4253751 + ... + 4718169.

Almost surely, 22083365057240 is an apocalyptic number.

2083365057240 is a gapful number since it is divisible by the number (20) 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 2083365057240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3589511468400).

2083365057240 is an abundant number, since it is smaller than the sum of its proper divisors (5095657879560).

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

2083365057240 is a wasteful number, since it uses less digits than its factorization.

2083365057240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465186 (or 465179 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 2083365057240 in words is "two trillion, eighty-three billion, three hundred sixty-five million, fifty-seven thousand, two hundred forty".