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159031261485200 = 24521382373712873
BaseRepresentation
bin100100001010001101011001…
…110110010101100010010000
3202212002020111001021121112002
4210022031121312111202100
5131321032010420011300
61322121541500453132
745332425624600136
oct4412153166254220
9685066431247462
10159031261485200
1146743863198975
1215a053a784a1a8
136a97778262130
142b3b222cc3756
15135bb7c3685d5
hex90a359d95890

159031261485200 has 120 divisors (see below), whose sum is σ = 411512869985448. Its totient is φ = 58712090480640.

The previous prime is 159031261485197. The next prime is 159031261485293. The reversal of 159031261485200 is 2584162130951.

159031261485200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 119809399279504 + 39221862205696 = 10945748^2 + 6262736^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40975964 + ... + 44688836.

Almost surely, 2159031261485200 is an apocalyptic number.

159031261485200 is a gapful number since it is divisible by the number (10) 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 159031261485200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205756434992724).

159031261485200 is an abundant number, since it is smaller than the sum of its proper divisors (252481608500248).

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

159031261485200 is a wasteful number, since it uses less digits than its factorization.

159031261485200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3721141 (or 3721130 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 47.

The spelling of 159031261485200 in words is "one hundred fifty-nine trillion, thirty-one billion, two hundred sixty-one million, four hundred eighty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 8237 16474 32948 41185 65896 82370 107081 131792 164740 205925 214162 329480 411850 428324 535405 658960 823700 856648 1070810 1647400 1713296 2141620 2677025 3294800 3712873 4283240 5354050 7425746 8566480 10708100 14851492 18564365 21416200 29702984 37128730 42832400 48267349 59405968 74257460 92821825 96534698 148514920 185643650 193069396 241336745 297029840 371287300 386138792 482673490 742574600 772277584 965346980 1206683725 1485149200 1930693960 2413367450 3861387920 4826734900 9653469800 19306939600 30582934901 61165869802 122331739604 152914674505 244663479208 305829349010 397578153713 489326958416 611658698020 764573372525 795156307426 1223317396040 1529146745050 1590312614852 1987890768565 2446634792080 3058293490100 3180625229704 3975781537130 6116586980200 6361250459408 7951563074260 9939453842825 12233173960400 15903126148520 19878907685650 31806252297040 39757815371300 79515630742600 159031261485200