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5117151105 = 35511234807
BaseRepresentation
bin1001100010000000…
…11000011110000001
3111012121211012200000
410301000120132001
540434442313410
62203434150213
7240544031613
oct46100303601
914177735600
105117151105
112196553400
12ba9882369
136371c8b81
14367878db3
151ee397dc0
hex131018781

5117151105 has 72 divisors (see below), whose sum is σ = 10110749376. Its totient is φ = 2480971680.

The previous prime is 5117151071. The next prime is 5117151107. The reversal of 5117151105 is 5011517115.

It is a happy number.

It is not a de Polignac number, because 5117151105 - 28 = 5117150849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5117151107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 129612 + ... + 164418.

Almost surely, 25117151105 is an apocalyptic number.

5117151105 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5117151105 is a deficient number, since it is larger than the sum of its proper divisors (4993598271).

5117151105 is a wasteful number, since it uses less digits than its factorization.

5117151105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34849 (or 34826 counting only the distinct ones).

The product of its (nonzero) digits is 875, while the sum is 27.

The square root of 5117151105 is about 71534.2652509970. The cubic root of 5117151105 is about 1723.2280178084.

The spelling of 5117151105 in words is "five billion, one hundred seventeen million, one hundred fifty-one thousand, one hundred five".

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 121 135 165 243 297 363 405 495 605 891 1089 1215 1485 1815 2673 3267 4455 5445 9801 13365 16335 29403 34807 49005 104421 147015 174035 313263 382877 522105 939789 1148631 1566315 1914385 2819367 3445893 4211647 4698945 5743155 8458101 10337679 12634941 14096835 17229465 21058235 31013037 37904823 42290505 51688395 63174705 93039111 113714469 155065185 189524115 341143407 465195555 568572345 1023430221 1705717035 5117151105