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159109299426 = 237111931584707
BaseRepresentation
bin1001010000101110100…
…1110011110011100010
3120012200121012212111210
42110023221303303202
510101323440040201
6201032132250550
714331606505350
oct2241351636342
9505617185453
10159109299426
1161529062690
1226a05470a56
131200887ac6c
1479b54d87d0
15421369b1d6
hex250ba73ce2

159109299426 has 128 divisors (see below), whose sum is σ = 431093514240. Its totient is φ = 37888948800.

The previous prime is 159109299359. The next prime is 159109299439. The reversal of 159109299426 is 624992901951.

159109299426 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20236 + ... + 564471.

It is an arithmetic number, because the mean of its divisors is an integer number (3367918080).

Almost surely, 2159109299426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159109299426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215546757120).

159109299426 is an abundant number, since it is smaller than the sum of its proper divisors (271984214814).

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

159109299426 is a wasteful number, since it uses less digits than its factorization.

159109299426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584780.

The product of its (nonzero) digits is 3149280, while the sum is 57.

The spelling of 159109299426 in words is "one hundred fifty-nine billion, one hundred nine million, two hundred ninety-nine thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 11 14 19 21 22 31 33 38 42 57 62 66 77 93 114 133 154 186 209 217 231 266 341 399 418 434 462 589 627 651 682 798 1023 1178 1254 1302 1463 1767 2046 2387 2926 3534 4123 4389 4774 6479 7161 8246 8778 12369 12958 14322 19437 24738 38874 45353 90706 136059 272118 584707 1169414 1754121 3508242 4092949 6431777 8185898 11109433 12278847 12863554 18125917 19295331 22218866 24557694 33328299 36251834 38590662 45022439 54377751 66656598 77766031 90044878 108755502 122203763 126881419 135067317 155532062 199385087 233298093 244407526 253762838 270134634 344392423 366611289 380644257 398770174 466596186 598155261 688784846 733222578 761288514 855426341 1033177269 1196310522 1395695609 1710852682 2066354538 2410746961 2566279023 2791391218 3788316653 4187086827 4821493922 5132558046 7232240883 7576633306 8374173654 11364949959 14464481766 22729899918 26518216571 53036433142 79554649713 159109299426