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5162268105 = 34529538293
BaseRepresentation
bin1001100111011000…
…11111010111001001
3111022202201101120000
410303230133113021
541033020034410
62212125153213
7241632361221
oct46354372711
914282641500
105162268105
112209a69485
1210009bb809
13643664817
1436d861081
1520330adc0
hex133b1f5c9

5162268105 has 80 divisors (see below), whose sum is σ = 9754739280. Its totient is φ = 2607800832.

The previous prime is 5162268103. The next prime is 5162268107. The reversal of 5162268105 is 5018622615.

It is an interprime number because it is at equal distance from previous prime (5162268103) and next prime (5162268107).

It can be written as a sum of positive squares in 8 ways, for example, as 45441081 + 5116827024 = 6741^2 + 71532^2 .

It is not a de Polignac number, because 5162268105 - 21 = 5162268103 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5162268105.

It is not an unprimeable number, because it can be changed into a prime (5162268103) 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 79 ways as a sum of consecutive naturals, for example, 618339 + ... + 626631.

It is an arithmetic number, because the mean of its divisors is an integer number (121934241).

Almost surely, 25162268105 is an apocalyptic number.

It is an amenable number.

5162268105 is a deficient number, since it is larger than the sum of its proper divisors (4592471175).

5162268105 is a wasteful number, since it uses less digits than its factorization.

5162268105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8392 (or 8383 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 5162268105 is about 71848.9255660793. The cubic root of 5162268105 is about 1728.2776698613.

The spelling of 5162268105 in words is "five billion, one hundred sixty-two million, two hundred sixty-eight thousand, one hundred five".

Divisors: 1 3 5 9 15 27 29 45 53 81 87 135 145 159 261 265 405 435 477 783 795 1305 1431 1537 2349 2385 3915 4293 4611 7155 7685 8293 11745 13833 21465 23055 24879 41465 41499 69165 74637 124395 124497 207495 223911 240497 373185 439529 622485 671733 721491 1119555 1202485 1318587 2164473 2197645 3358665 3607455 3955761 6493419 6592935 10822365 11867283 12746341 19480257 19778805 32467095 35601849 38239023 59336415 63731705 97401285 114717069 178009245 191195115 344151207 573585345 1032453621 1720756035 5162268105