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159436121856 = 28311129714551
BaseRepresentation
bin1001010001111100100…
…0100010011100000000
3120020112101012011121020
42110133020202130000
510103011121344411
6201124405225440
714342655450414
oct2243710423400
9506471164536
10159436121856
1161686597170
1226a96a02280
131205b4aa60b
147a06a90d44
154232207606
hex251f222700

159436121856 has 144 divisors (see below), whose sum is σ = 463297029888. Its totient is φ = 48273408000.

The previous prime is 159436121849. The next prime is 159436121857. The reversal of 159436121856 is 658121634951.

It is a junction number, because it is equal to n+sod(n) for n = 159436121799 and 159436121808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159436121857) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10949781 + ... + 10964331.

Almost surely, 2159436121856 is an apocalyptic number.

159436121856 is a gapful number since it is divisible by the number (16) 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 159436121856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231648514944).

159436121856 is an abundant number, since it is smaller than the sum of its proper divisors (303860908032).

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

159436121856 is a wasteful number, since it uses less digits than its factorization.

159436121856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15878 (or 15864 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 51.

The spelling of 159436121856 in words is "one hundred fifty-nine billion, four hundred thirty-six million, one hundred twenty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1297 1408 2112 2594 2816 3891 4224 5188 7782 8448 10376 14267 14551 15564 20752 28534 29102 31128 41504 42801 43653 57068 58204 62256 83008 85602 87306 114136 116408 124512 160061 166016 171204 174612 228272 232816 249024 320122 332032 342408 349224 456544 465632 480183 498048 640244 684816 698448 913088 931264 960366 996096 1280488 1369632 1396896 1826176 1862528 1920732 2560976 2739264 2793792 3652352 3725056 3841464 5121952 5478528 5587584 7682928 10243904 10957056 11175168 15365856 18872647 20487808 30731712 37745294 40975616 56617941 61463424 75490588 113235882 122926848 150981176 207599117 226471764 301962352 415198234 452943528 603924704 622797351 830396468 905887056 1207849408 1245594702 1660792936 1811774112 2415698816 2491189404 3321585872 3623548224 4831397632 4982378808 6643171744 7247096448 9964757616 13286343488 14494192896 19929515232 26572686976 39859030464 53145373952 79718060928 159436121856