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159537331002 = 237461712557
BaseRepresentation
bin1001010010010100101…
…0100111101100111010
3120020210102122010110010
42110211022213230322
510103213024043002
6201142422402350
714345324640000
oct2244512475472
9506712563403
10159537331002
1161728734095
1226b048903b6
131207645559a
147a162b8a70
15423b04a46c
hex25252a7b3a

159537331002 has 160 divisors (see below), whose sum is σ = 383812470144. Its totient is φ = 44186083200.

The previous prime is 159537330929. The next prime is 159537331003. The reversal of 159537331002 is 200133735951.

159537331002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (159537331003) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 62391108 + ... + 62393664.

Almost surely, 2159537331002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159537331002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191906235072).

159537331002 is an abundant number, since it is smaller than the sum of its proper divisors (224275139142).

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

159537331002 is an equidigital number, since it uses as much as digits as its factorization.

159537331002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722 (or 2701 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 39.

The spelling of 159537331002 in words is "one hundred fifty-nine billion, five hundred thirty-seven million, three hundred thirty-one thousand, two".

Divisors: 1 2 3 6 7 14 21 42 49 61 71 98 122 142 147 183 213 294 343 366 426 427 497 686 854 994 1029 1281 1491 2058 2401 2557 2562 2982 2989 3479 4331 4802 5114 5978 6958 7203 7671 8662 8967 10437 12993 14406 15342 17899 17934 20874 20923 24353 25986 30317 35798 41846 48706 53697 60634 62769 73059 90951 107394 125293 125538 146118 146461 155977 170471 181547 181902 212219 250586 292922 311954 340942 363094 375879 424438 439383 467931 511413 544641 636657 751758 877051 878766 935862 1022826 1089282 1091839 1270829 1273314 1485533 1754102 2183678 2541658 2631153 2971066 3275517 3812487 4456599 5262306 6139357 6551034 7624974 7642873 8895803 8913198 10398731 11074367 12278714 15285746 17791606 18418071 20797462 22148734 22928619 26687409 31196193 33223101 36836142 45857238 53374818 53500111 62270621 62392386 66446202 77520569 107000222 124541242 155041138 160500333 186811863 232561707 321000666 373623726 374500777 435894347 465123414 542643983 749001554 871788694 1085287966 1123502331 1307683041 1627931949 2247004662 2615366082 3255863898 3798507881 7597015762 11395523643 22791047286 26589555167 53179110334 79768665501 159537331002