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159553497168 = 243313109260647
BaseRepresentation
bin1001010010011000100…
…0010010100001010000
3120020211120001110021000
42110212020102201100
510103231143402133
6201144201102000
714345612230452
oct2244610224120
9506746043230
10159553497168
1161736875a5a
1226b0a187900
13120798c5970
147a184c62d2
15423c690413
hex2526212850

159553497168 has 160 divisors (see below), whose sum is σ = 497733420800. Its totient is φ = 48642799104.

The previous prime is 159553497167. The next prime is 159553497211. The reversal of 159553497168 is 861794355951.

159553497168 is a `hidden beast` number, since 1 + 5 + 9 + 5 + 534 + 97 + 1 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159553497167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 481821 + ... + 742467.

It is an arithmetic number, because the mean of its divisors is an integer number (3110833880).

Almost surely, 2159553497168 is an apocalyptic number.

159553497168 is a gapful number since it is divisible by the number (18) 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 159553497168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248866710400).

159553497168 is an abundant number, since it is smaller than the sum of its proper divisors (338179923632).

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

159553497168 is a wasteful number, since it uses less digits than its factorization.

159553497168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260786 (or 260774 counting only the distinct ones).

The product of its digits is 40824000, while the sum is 63.

The spelling of 159553497168 in words is "one hundred fifty-nine billion, five hundred fifty-three million, four hundred ninety-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 109 117 144 156 208 216 218 234 312 327 351 432 436 468 624 654 702 872 936 981 1308 1404 1417 1744 1872 1962 2616 2808 2834 2943 3924 4251 5232 5616 5668 5886 7848 8502 11336 11772 12753 15696 17004 22672 23544 25506 34008 38259 47088 51012 68016 76518 102024 153036 204048 260647 306072 521294 612144 781941 1042588 1563882 2085176 2345823 3127764 3388411 4170352 4691646 6255528 6776822 7037469 9383292 10165233 12511056 13553644 14074938 18766584 20330466 27107288 28149876 28410523 30495699 37533168 40660932 54214576 56299752 56821046 60991398 81321864 85231569 91487097 112599504 113642092 121982796 162643728 170463138 182974194 227284184 243965592 255694707 340926276 365948388 369336799 454568368 487931184 511389414 681852552 731896776 738673598 767084121 1022778828 1108010397 1363705104 1463793552 1477347196 1534168242 2045557656 2216020794 2954694392 3068336484 3324031191 4091115312 4432041588 5909388784 6136672968 6648062382 8864083176 9972093573 12273345936 13296124764 17728166352 19944187146 26592249528 39888374292 53184499056 79776748584 159553497168