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253874899601 = 3722932992361
BaseRepresentation
bin1110110001110000011…
…1111000101010010001
3220021021222102011002022
43230130013320222101
513124413433241401
6312343432101225
724225154020101
oct3543407705221
9807258364068
10253874899601
1198738842714
1241252234815
131ac2babbcab
14c4052bd201
15690d0cc71b
hex3b1c1f8a91

253874899601 has 8 divisors (see below), whose sum is σ = 260850180264. Its totient is φ = 246905608320.

The previous prime is 253874899573. The next prime is 253874899639. The reversal of 253874899601 is 106998478352.

253874899601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 5038602+1.

It can be written as a sum of positive squares in 4 ways, for example, as 14165760400 + 239709139201 = 119020^2 + 489601^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-253874899601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (253874899651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1411340 + ... + 1581021.

It is an arithmetic number, because the mean of its divisors is an integer number (32606272533).

It is a 1-persistent number, because it is pandigital, but 2⋅253874899601 = 507749799202 is not.

Almost surely, 2253874899601 is an apocalyptic number.

It is an amenable number.

253874899601 is a deficient number, since it is larger than the sum of its proper divisors (6975280663).

253874899601 is a wasteful number, since it uses less digits than its factorization.

253874899601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994691.

The product of its (nonzero) digits is 26127360, while the sum is 62.

The spelling of 253874899601 in words is "two hundred fifty-three billion, eight hundred seventy-four million, eight hundred ninety-nine thousand, six hundred one".

Divisors: 1 37 2293 84841 2992361 110717357 6861483773 253874899601