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159271243974 = 2354324212
BaseRepresentation
bin1001010001010101001…
…1100101000011000110
3120020002212221111200000
42110111103211003012
510102141414301344
6201100155302130
714335614144033
oct2242523450306
9506085844600
10159271243974
1161601512a57
1226a4b74a946
131203329c83b
1479ccc1238a
1542229d9a69
hex25154e50c6

159271243974 has 108 divisors (see below), whose sum is σ = 367257136428. Its totient is φ = 51732581040.

The previous prime is 159271243933. The next prime is 159271243981. The reversal of 159271243974 is 479342172951.

159271243974 is a `hidden beast` number, since 1 + 592 + 7 + 1 + 2 + 43 + 9 + 7 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3810240) is a multiple of the sum of its prime factors (945).

It is a self number, because there is not a number n which added to its sum of digits gives 159271243974.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 378316284 + ... + 378316704.

It is an arithmetic number, because the mean of its divisors is an integer number (3400529041).

Almost surely, 2159271243974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159271243974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183628568214).

159271243974 is an abundant number, since it is smaller than the sum of its proper divisors (207985892454).

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

159271243974 is an frugal number, since it uses more digits than its factorization.

159271243974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 469 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

Multiplying 159271243974 by its sum of digits (54), we get a square (8600647174596 = 29326862).

159271243974 divided by its sum of digits (54) gives a square (2949467481 = 543092).

The spelling of 159271243974 in words is "one hundred fifty-nine billion, two hundred seventy-one million, two hundred forty-three thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 43 54 81 86 129 162 243 258 387 421 486 774 842 1161 1263 1849 2322 2526 3483 3698 3789 5547 6966 7578 10449 11094 11367 16641 18103 20898 22734 33282 34101 36206 49923 54309 68202 99846 102303 108618 149769 162927 177241 204606 299538 325854 354482 449307 488781 531723 778429 898614 977562 1063446 1466343 1556858 1595169 2335287 2932686 3190338 4399029 4670574 4785507 7005861 7621363 8798058 9571014 14011722 14356521 15242726 21017583 22864089 28713042 42035166 43069563 45728178 63052749 68592267 86139126 126105498 137184534 189158247 205776801 327718609 378316494 411553602 617330403 655437218 983155827 1234660806 1851991209 1966311654 2949467481 3703982418 5898934962 8848402443 17696804886 26545207329 53090414658 79635621987 159271243974