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159217363344 = 2431336172447
BaseRepresentation
bin1001010001001000011…
…0000010100110010000
3120012222010120002100010
42110102012002212100
510102034121111334
6201050552354520
714334361154454
oct2242206024620
9505863502303
10159217363344
1161584061706
1226a356a5a40
1312025086000
1479c59c8664
15421cde50e9
hex2512182990

159217363344 has 160 divisors (see below), whose sum is σ = 446476423680. Its totient is φ = 48890569728.

The previous prime is 159217363337. The next prime is 159217363379. The reversal of 159217363344 is 443363712951.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 159217363293 and 159217363302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65065129 + ... + 65067575.

It is an arithmetic number, because the mean of its divisors is an integer number (2790477648).

Almost surely, 2159217363344 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 159217363344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223238211840).

159217363344 is an abundant number, since it is smaller than the sum of its proper divisors (287259060336).

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

159217363344 is a wasteful number, since it uses less digits than its factorization.

159217363344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3114 (or 3082 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 48.

The spelling of 159217363344 in words is "one hundred fifty-nine billion, two hundred seventeen million, three hundred sixty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 507 617 624 676 1014 1234 1352 1851 2028 2197 2447 2468 2704 3702 4056 4394 4894 4936 6591 7341 7404 8021 8112 8788 9788 9872 13182 14682 14808 16042 17576 19576 24063 26364 29364 29616 31811 32084 35152 39152 48126 52728 58728 63622 64168 95433 96252 104273 105456 117456 127244 128336 190866 192504 208546 254488 312819 381732 385008 413543 417092 508976 625638 763464 827086 834184 1240629 1251276 1355549 1509799 1526928 1654172 1668368 2481258 2502552 2711098 3019598 3308344 4066647 4529397 4962516 5005104 5376059 5422196 6039196 6616688 8133294 9058794 9925032 10752118 10844392 12078392 16128177 16266588 18117588 19627387 19850064 21504236 21688784 24156784 32256354 32533176 36235176 39254774 43008472 58882161 64512708 65066352 72470352 78509548 86016944 117764322 129025416 157019096 235528644 255156031 258050832 314038192 471057288 510312062 765468093 942114576 1020624124 1530936186 2041248248 3061872372 3317028403 4082496496 6123744744 6634056806 9951085209 12247489488 13268113612 19902170418 26536227224 39804340836 53072454448 79608681672 159217363344