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613398893316 = 2231137237752837
BaseRepresentation
bin10001110110100010110…
…11000101001100000100
32011122021211020100201020
420323101123011030010
540022220104041231
61145442551031140
762213411364636
oct10732133051404
92148254210636
10613398893316
11217160758450
129aa6a06b4b0
1345ac6873b51
142198d9a6a56
1510e51315396
hex8ed16c5304

613398893316 has 96 divisors (see below), whose sum is σ = 1604283418752. Its totient is φ = 180775203840.

The previous prime is 613398893311. The next prime is 613398893357.

613398893316 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 613398893316.

It is not an unprimeable number, because it can be changed into a prime (613398893311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11582850 + ... + 11635686.

It is an arithmetic number, because the mean of its divisors is an integer number (16711285612).

Almost surely, 2613398893316 is an apocalyptic number.

613398893316 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 613398893316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802141709376).

613398893316 is an abundant number, since it is smaller than the sum of its proper divisors (990884525436).

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

613398893316 is a wasteful number, since it uses less digits than its factorization.

613398893316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55269 (or 55267 counting only the distinct ones).

The product of its digits is 15116544, while the sum is 60.

The spelling of 613398893316 in words is "six hundred thirteen billion, three hundred ninety-eight million, eight hundred ninety-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2377 2442 4754 4884 7131 9508 14262 26147 28524 52294 52837 78441 87949 104588 105674 156882 158511 175898 211348 263847 313764 317022 351796 527694 581207 634044 967439 1055388 1162414 1743621 1934878 1954969 2324828 2902317 3487242 3869756 3909938 5804634 5864907 6974484 7819876 11609268 11729814 21504659 23459628 43009318 64513977 86018636 125593549 129027954 251187098 258055908 376780647 502374196 753561294 1381529039 1507122588 2763058078 4144587117 4646961313 5526116156 8289174234 9293922626 13940883939 16578348468 18587845252 27881767878 51116574443 55763535756 102233148886 153349723329 204466297772 306699446658 613398893316