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1901973313 = 41388111953
BaseRepresentation
bin111000101011101…
…1100111101000001
311220112220020220001
41301113130331001
512343401121223
6512421520001
765063335462
oct16127347501
94815806801
101901973313
11896683779
12450b73001
13244074ac6
1414085cd69
15b1e9c9ad
hex715dcf41

1901973313 has 8 divisors (see below), whose sum is σ = 1949027976. Its totient is φ = 1854950400.

The previous prime is 1901973301. The next prime is 1901973331. The reversal of 1901973313 is 3133791091.

It can be written as a sum of positive squares in 4 ways, for example, as 306530064 + 1595443249 = 17508^2 + 39943^2 .

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-1901973313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1901973013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153145 + ... + 165097.

It is an arithmetic number, because the mean of its divisors is an integer number (243628497).

Almost surely, 21901973313 is an apocalyptic number.

It is an amenable number.

1901973313 is a deficient number, since it is larger than the sum of its proper divisors (47054663).

1901973313 is a wasteful number, since it uses less digits than its factorization.

1901973313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15875.

The product of its (nonzero) digits is 15309, while the sum is 37.

The square root of 1901973313 is about 43611.6190137445. The cubic root of 1901973313 is about 1238.9909656843.

The spelling of 1901973313 in words is "one billion, nine hundred one million, nine hundred seventy-three thousand, three hundred thirteen".

Divisors: 1 41 3881 11953 159121 490073 46389593 1901973313