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2013521796 = 22321121331237
BaseRepresentation
bin111100000000011…
…1110011110000100
312012022210111122100
41320000332132010
513110430144141
6531444432100
7100616436636
oct17000763604
95168714570
102013521796
11943642800
124823a8630
132611ccc20
141515b8a56
15bbb840b6
hex7803e784

2013521796 has 324 divisors, whose sum is σ = 6393724428. Its totient is φ = 530323200.

The previous prime is 2013521779. The next prime is 2013521813. The reversal of 2013521796 is 6971253102.

2013521796 is a `hidden beast` number, since 201 + 352 + 17 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (2013521779) and next prime (2013521813).

It can be written as a sum of positive squares in 2 ways, for example, as 1071645696 + 941876100 = 32736^2 + 30690^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2013521796.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 54419490 + ... + 54419526.

Almost surely, 22013521796 is an apocalyptic number.

2013521796 is a gapful number since it is divisible by the number (26) 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 2013521796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3196862214).

2013521796 is an abundant number, since it is smaller than the sum of its proper divisors (4380202632).

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

2013521796 is a wasteful number, since it uses less digits than its factorization.

2013521796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 2013521796 is about 44872.2831600978. The cubic root of 2013521796 is about 1262.7540740945.

Adding to 2013521796 its reverse (6971253102), we get a palindrome (8984774898).

The spelling of 2013521796 in words is "two billion, thirteen million, five hundred twenty-one thousand, seven hundred ninety-six".