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289159428744 = 233361199110281
BaseRepresentation
bin1000011010100110011…
…11101011101010001000
31000122101000110221122000
410031103033223222020
514214144303204434
6340501002031000
726614432406334
oct4152317535210
91018330427560
10289159428744
111016a4a606aa
124805aaa8460
1321362c549c4
14ddd14d27c4
1577c5b12b99
hex43533eba88

289159428744 has 128 divisors (see below), whose sum is σ = 820498080000. Its totient is φ = 94329100800.

The previous prime is 289159428739. The next prime is 289159428749. The reversal of 289159428744 is 447824951982.

289159428744 is a `hidden beast` number, since 2 + 8 + 91 + 59 + 428 + 74 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (289159428739) and next prime (289159428749).

It is a super-2 number, since 2×2891594287442 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (289159428749) 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 31 ways as a sum of consecutive naturals, for example, 2566884 + ... + 2677164.

It is an arithmetic number, because the mean of its divisors is an integer number (6410141250).

Almost surely, 2289159428744 is an apocalyptic number.

289159428744 is a gapful number since it is divisible by the number (24) 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 289159428744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410249040000).

289159428744 is an abundant number, since it is smaller than the sum of its proper divisors (531338651256).

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

289159428744 is a wasteful number, since it uses less digits than its factorization.

289159428744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110556 (or 110546 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 289159428744 in words is "two hundred eighty-nine billion, one hundred fifty-nine million, four hundred twenty-eight thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 108 122 183 199 216 244 366 398 488 549 597 732 796 1098 1194 1464 1592 1647 1791 2196 2388 3294 3582 4392 4776 5373 6588 7164 10746 12139 13176 14328 21492 24278 36417 42984 48556 72834 97112 109251 110281 145668 218502 220562 291336 327753 330843 437004 441124 655506 661686 874008 882248 992529 1311012 1323372 1985058 2622024 2646744 2977587 3970116 5955174 6727141 7940232 11910348 13454282 20181423 21945919 23820696 26908564 40362846 43891838 53817128 60544269 65837757 80725692 87783676 121088538 131675514 161451384 175567352 181632807 197513271 242177076 263351028 363265614 395026542 484354152 526702056 592539813 726531228 790053084 1185079626 1338701059 1453062456 1580106168 2370159252 2677402118 4016103177 4740318504 5354804236 8032206354 10709608472 12048309531 16064412708 24096619062 32128825416 36144928593 48193238124 72289857186 96386476248 144579714372 289159428744