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616304061040434 = 23131715591223924359
BaseRepresentation
bin1000110000100001100111100…
…0101000011100011100110010
32222211011002111200011020100220
42030020121320220130130302
51121240011204111243214
610022434102123553510
7243546333110424324
oct21410317050343462
92884132450136326
10616304061040434
111694120a2497478
1259157a3308b896
13205b72ba297930
14ac293c07b1614
154b3b73a0389a9
hex2308678a1c732

616304061040434 has 128 divisors (see below), whose sum is σ = 1406582102016000. Its totient is φ = 178340817343488.

The previous prime is 616304061040429. The next prime is 616304061040483. The reversal of 616304061040434 is 434040160403616.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25300864747 + ... + 25300889105.

It is an arithmetic number, because the mean of its divisors is an integer number (10988922672000).

Almost surely, 2616304061040434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 616304061040434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703291051008000).

616304061040434 is an abundant number, since it is smaller than the sum of its proper divisors (790278040975566).

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

616304061040434 is a wasteful number, since it uses less digits than its factorization.

616304061040434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38192.

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 616304061040434 in words is "six hundred sixteen trillion, three hundred four billion, sixty-one million, forty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 442 663 1326 1559 3118 4677 9354 12239 20267 24359 24478 26503 36717 40534 48718 53006 60801 73077 73434 79509 121602 146154 159018 159107 208063 316667 318214 344539 414103 416126 477321 624189 633334 689078 828206 950001 954642 1033617 1242309 1248378 1900002 2067234 2484618 2704819 5383339 5409638 8114457 10766678 16150017 16228914 19080601 32300034 37975681 38161202 57241803 75951362 113927043 114483606 227854086 248047813 298129801 324370217 493683853 496095626 596259602 645586577 648740434 744143439 894389403 973110651 987367706 1291173154 1481051559 1488286878 1788778806 1936759731 1946221302 2962103118 3873519462 3875687413 4216812821 5068206617 7751374826 8392625501 8433625642 10136413234 11627062239 12650438463 15204619851 16785251002 23254124478 25177876503 25300876926 30409239702 50355753006 65886686021 131773372042 197660058063 395320116126 464784359759 929568719518 1394353079277 2788706158554 6042196676867 7901334115903 12084393353734 15802668231806 18126590030601 23704002347709 36253180061202 47408004695418 102717343506739 205434687013478 308152030520217 616304061040434