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5437007345 = 571121379371
BaseRepresentation
bin1010001000001001…
…00010010111110001
3112000220200120221102
411010010202113301
542113333213340
62255301534145
7251506541240
oct50404422761
915026616842
105437007345
11234005a100
121078a14355
13688559813
1439813a957
1521c4ca215
hex1441225f1

5437007345 has 48 divisors (see below), whose sum is σ = 8256657024. Its totient is φ = 3364204800.

The previous prime is 5437007341. The next prime is 5437007351.

5437007345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5437007345 - 22 = 5437007341 is a prime.

It is a super-2 number, since 2×54370073452 = 59122097739167898050, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5437007299 and 5437007308.

It is not an unprimeable number, because it can be changed into a prime (5437007341) 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 47 ways as a sum of consecutive naturals, for example, 575510 + ... + 584880.

It is an arithmetic number, because the mean of its divisors is an integer number (172013688).

Almost surely, 25437007345 is an apocalyptic number.

5437007345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5437007345 is a deficient number, since it is larger than the sum of its proper divisors (2819649679).

5437007345 is a wasteful number, since it uses less digits than its factorization.

5437007345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9542 (or 9531 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 38.

The square root of 5437007345 is about 73736.0654293406. The cubic root of 5437007345 is about 1758.4093049441.

The spelling of 5437007345 in words is "five billion, four hundred thirty-seven million, seven thousand, three hundred forty-five".

Divisors: 1 5 7 11 35 55 77 121 137 385 605 685 847 959 1507 4235 4795 7535 9371 10549 16577 46855 52745 65597 82885 103081 116039 327985 515405 580195 721567 1133891 1283827 3607835 5669455 6419135 7937237 8986789 14122097 39686185 44933945 70610485 98854679 155343067 494273395 776715335 1087401469 5437007345