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130563424464616 = 2311132915672511473
BaseRepresentation
bin11101101011111100101010…
…100010010010111011101000
3122010021202000112112122002101
4131223330222202102323220
5114103122343130331431
61141404001551343144
736333616241505523
oct3553745242227350
9563252015478071
10130563424464616
1138668701368730
1212788096821ab4
1357b1102770560
1424354369adbba
1510163c33ba961
hex76bf2a892ee8

130563424464616 has 128 divisors (see below), whose sum is σ = 297712137139200. Its totient is φ = 52859051642880.

The previous prime is 130563424464601. The next prime is 130563424464619. The reversal of 130563424464616 is 616464424365031.

130563424464616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (130563424464619) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50731056 + ... + 53242528.

It is an arithmetic number, because the mean of its divisors is an integer number (2325876071400).

Almost surely, 2130563424464616 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 130563424464616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148856068569600).

130563424464616 is an abundant number, since it is smaller than the sum of its proper divisors (167148712674584).

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

130563424464616 is a wasteful number, since it uses less digits than its factorization.

130563424464616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2513099 (or 2513095 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 55.

The spelling of 130563424464616 in words is "one hundred thirty trillion, five hundred sixty-three billion, four hundred twenty-four million, four hundred sixty-four thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 13 22 26 29 44 52 58 88 104 116 143 232 286 319 377 572 638 754 1144 1276 1508 1567 2552 3016 3134 4147 6268 8294 12536 16588 17237 20371 33176 34474 40742 45443 68948 81484 90886 137896 162968 181772 224081 363544 448162 499873 590759 896324 999746 1181518 1792648 1999492 2363036 2511473 3998984 4726072 5022946 6498349 10045892 12996698 20091784 25993396 27626203 32649149 51986792 55252406 65298298 72832717 110504812 130596596 145665434 221009624 261193192 291330868 359140639 582661736 718281278 801159887 946825321 1436562556 1602319774 1893650642 2873125112 3204639548 3787301284 3935478191 6409279096 7574602568 7870956382 10415078531 15741912764 20830157062 31483825528 41660314124 43290260101 51161216483 83320628248 86580520202 102322432966 114128867539 173161040404 204644865932 228257735078 346322080808 409289731864 456515470156 562773381313 913030940312 1125546762626 1255417542929 1483675278007 2251093525252 2510835085858 2967350556014 4502187050504 5021670171716 5934701112028 10043340343432 11869402224056 16320428058077 32640856116154 65281712232308 130563424464616