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159394916128 = 25721931172589
BaseRepresentation
bin1001010001110010101…
…1010110011100100000
3120020102111122200222011
42110130223112130200
510102420044304003
6201120334122304
714341645301200
oct2243453263440
9506374580864
10159394916128
1161665302748
1226a85050394
1312052ab1026
147a01406400
15422d7b846d
hex251cad6720

159394916128 has 144 divisors (see below), whose sum is σ = 396653241600. Its totient is φ = 62628733440.

The previous prime is 159394916041. The next prime is 159394916143. The reversal of 159394916128 is 821619493951.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 837258 + ... + 1009846.

It is an arithmetic number, because the mean of its divisors is an integer number (2754536400).

Almost surely, 2159394916128 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 159394916128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198326620800).

159394916128 is an abundant number, since it is smaller than the sum of its proper divisors (237258325472).

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

159394916128 is a wasteful number, since it uses less digits than its factorization.

159394916128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172663 (or 172648 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 58.

The spelling of 159394916128 in words is "one hundred fifty-nine billion, three hundred ninety-four million, nine hundred sixteen thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 31 32 38 49 56 62 76 98 112 124 133 152 196 217 224 248 266 304 392 434 496 532 589 608 784 868 931 992 1064 1178 1519 1568 1736 1862 2128 2356 3038 3472 3724 4123 4256 4712 6076 6944 7448 8246 9424 12152 14896 16492 18848 24304 28861 29792 32984 48608 57722 65968 115444 131936 172589 230888 345178 461776 690356 923552 1208123 1380712 2416246 2761424 3279191 4832492 5350259 5522848 6558382 8456861 9664984 10700518 13116764 16913722 19329968 21401036 22954337 26233528 33827444 37451813 38659936 42802072 45908674 52467056 67654888 74903626 85604144 91817348 101654921 104934112 135309776 149807252 160680359 171208288 183634696 203309842 262162691 270619552 299614504 321360718 367269392 406619684 524325382 599229008 642721436 711584447 734538784 813239368 1048650764 1198458016 1285442872 1423168894 1626478736 2097301528 2570885744 2846337788 3252957472 4194603056 4981091129 5141771488 5692675576 8389206112 9962182258 11385351152 19924364516 22770702304 39848729032 79697458064 159394916128