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616605141 = 3613679181
BaseRepresentation
bin100100110000001…
…010010111010101
31120222020210020110
4210300022113111
52230322331031
6141103553233
721165025425
oct4460122725
91528223213
10616605141
1129706a629
121525bb819
139a990a19
145bc6a485
15391ecc46
hex24c0a5d5

616605141 has 16 divisors (see below), whose sum is σ = 837986048. Its totient is φ = 403185600.

The previous prime is 616605131. The next prime is 616605151. The reversal of 616605141 is 141506616.

It is an interprime number because it is at equal distance from previous prime (616605131) and next prime (616605151).

It is not a de Polignac number, because 616605141 - 27 = 616605013 is a prime.

It is a super-3 number, since 3×6166051413 (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 616605099 and 616605108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616605131) 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 15 ways as a sum of consecutive naturals, for example, 62571 + ... + 71751.

It is an arithmetic number, because the mean of its divisors is an integer number (52374128).

Almost surely, 2616605141 is an apocalyptic number.

616605141 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

616605141 is a deficient number, since it is larger than the sum of its proper divisors (221380907).

616605141 is a wasteful number, since it uses less digits than its factorization.

616605141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9612.

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 616605141 is about 24831.5352123061. The cubic root of 616605141 is about 851.1427034792.

The spelling of 616605141 in words is "six hundred sixteen million, six hundred five thousand, one hundred forty-one".

Divisors: 1 3 61 183 367 1101 9181 22387 27543 67161 560041 1680123 3369427 10108281 205535047 616605141