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5101198993 = 1117613371327
BaseRepresentation
bin1001100000000111…
…00001111010010001
3111011111210202111001
410300003201322101
540421401331433
62202104222001
7240261322162
oct46003417221
914144722431
105101198993
112188548340
12ba446a901
13633b02057
143656c5769
151ecc9657d
hex1300e1e91

5101198993 has 32 divisors (see below), whose sum is σ = 6011186688. Its totient is φ = 4277145600.

The previous prime is 5101198987. The next prime is 5101198997. The reversal of 5101198993 is 3998911015.

It is not a de Polignac number, because 5101198993 - 221 = 5099101841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5101198997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3843496 + ... + 3844822.

It is an arithmetic number, because the mean of its divisors is an integer number (187849584).

Almost surely, 25101198993 is an apocalyptic number.

It is an amenable number.

5101198993 is a deficient number, since it is larger than the sum of its proper divisors (909987695).

5101198993 is a wasteful number, since it uses less digits than its factorization.

5101198993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753.

The product of its (nonzero) digits is 87480, while the sum is 46.

The square root of 5101198993 is about 71422.6784221930. The cubic root of 5101198993 is about 1721.4355008363.

The spelling of 5101198993 in words is "five billion, one hundred one million, one hundred ninety-eight thousand, nine hundred ninety-three".

Divisors: 1 11 17 61 187 337 671 1037 1327 3707 5729 11407 14597 20557 22559 63019 80947 226127 248149 349469 447199 890417 1376099 3844159 4919189 7602383 15137089 27279139 83626213 300070529 463745363 5101198993