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613034430316 = 2271141347139901
BaseRepresentation
bin10001110101110111011…
…00110000111101101100
32011121100102102201110121
420322323230300331230
540020443303232231
61145342451214324
762201364452410
oct10727354607554
92147312381417
10613034430316
11216a93a54a60
129a987ba73a4
1345a691c5879
1421957412d40
1510e2e321311
hex8ebbb30f6c

613034430316 has 96 divisors (see below), whose sum is σ = 1374110728704. Its totient is φ = 232345920000.

The previous prime is 613034430301. The next prime is 613034430319.

613034430316 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6130344303162 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (613034430319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4311966 + ... + 4451866.

It is an arithmetic number, because the mean of its divisors is an integer number (14313653424).

Almost surely, 2613034430316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 613034430316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687055364352).

613034430316 is an abundant number, since it is smaller than the sum of its proper divisors (761076298388).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

613034430316 is a wasteful number, since it uses less digits than its factorization.

613034430316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140311 (or 140309 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 34.

The spelling of 613034430316 in words is "six hundred thirteen billion, thirty-four million, four hundred thirty thousand, three hundred sixteen".

Divisors: 1 2 4 7 11 14 22 28 41 44 77 82 154 164 287 308 347 451 574 694 902 1148 1388 1804 2429 3157 3817 4858 6314 7634 9716 12628 14227 15268 26719 28454 53438 56908 99589 106876 139901 156497 199178 279802 312994 398356 559604 625988 979307 1095479 1538911 1958614 2190958 3077822 3917228 4381916 5735941 6155644 10772377 11471882 21544754 22943764 40151587 43089508 48545647 63095351 80303174 97091294 126190702 160606348 194182588 252381404 339819529 441667457 534002117 679639058 883334914 1068004234 1359278116 1766669828 1990371527 2136008468 3738014819 3980743054 7476029638 7961486108 13932600689 14952059276 21894086797 27865201378 43788173594 55730402756 87576347188 153258607579 306517215158 613034430316