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5160217319 = 418314910177
BaseRepresentation
bin1001100111001001…
…01010101011100111
3111022121212012101222
410303210222223213
541032003423234
62212013210555
7241606060235
oct46344525347
914277765358
105160217319
112208898714
121000190a5b
136430c723a
1436d489955
1520305342e
hex13392aae7

5160217319 has 16 divisors (see below), whose sum is σ = 5386197600. Its totient is φ = 4939837440.

The previous prime is 5160217273. The next prime is 5160217331. The reversal of 5160217319 is 9137120615.

It is a de Polignac number, because none of the positive numbers 2k-5160217319 is a prime.

It is a super-2 number, since 2×51602173192 = 53255685558615095522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5160217369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 501959 + ... + 512135.

It is an arithmetic number, because the mean of its divisors is an integer number (336637350).

Almost surely, 25160217319 is an apocalyptic number.

5160217319 is a deficient number, since it is larger than the sum of its proper divisors (225980281).

5160217319 is a wasteful number, since it uses less digits than its factorization.

5160217319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10450.

The product of its (nonzero) digits is 11340, while the sum is 35.

The square root of 5160217319 is about 71834.6526336698. The cubic root of 5160217319 is about 1728.0487784111.

It can be divided in two parts, 51602 and 17319, that added together give a cube (68921 = 413).

The spelling of 5160217319 in words is "five billion, one hundred sixty million, two hundred seventeen thousand, three hundred nineteen".

Divisors: 1 41 83 149 3403 6109 10177 12367 417257 507047 844691 1516373 34632331 62171293 125858959 5160217319