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5122435967 = 1119292151193
BaseRepresentation
bin1001100010101001…
…00010101101111111
3111012222202201010122
410301110202231333
540442320422332
62204143325155
7240636662435
oct46124425577
914188681118
105122435967
112199532a60
12bab5b07bb
136383294cc
14368452d55
151eea8dc12
hex131522b7f

5122435967 has 48 divisors (see below), whose sum is σ = 6164171520. Its totient is φ = 4209408000.

The previous prime is 5122435957. The next prime is 5122435987. The reversal of 5122435967 is 7695342215.

It is not a de Polignac number, because 5122435967 - 24 = 5122435951 is a prime.

Its product of digits (453600) is a multiple of the sum of its prime factors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5122435957) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26541023 + ... + 26541215.

It is an arithmetic number, because the mean of its divisors is an integer number (128420240).

Almost surely, 25122435967 is an apocalyptic number.

5122435967 is a deficient number, since it is larger than the sum of its proper divisors (1041735553).

5122435967 is a wasteful number, since it uses less digits than its factorization.

5122435967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 403 counting only the distinct ones).

The product of its digits is 453600, while the sum is 44.

The square root of 5122435967 is about 71571.1950927187. The cubic root of 5122435967 is about 1723.8210488859.

The spelling of 5122435967 in words is "five billion, one hundred twenty-two million, four hundred thirty-five thousand, nine hundred sixty-seven".

Divisors: 1 11 19 29 151 193 209 319 551 841 1661 2123 2869 3667 4379 5597 6061 9251 15979 29143 31559 40337 48169 61567 83201 106343 126991 162313 175769 320573 553717 845147 915211 1169773 1396901 1785443 2412829 3083947 6090887 9296617 16057793 24509263 26541119 33923417 176635723 269601893 465675997 5122435967