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44663514305452 = 22722353187999487
BaseRepresentation
bin10100010011111000010001…
…11001111001001110101100
312212010210100002211210021021
422021330020321321032230
521323231334130233302
6234554045112343524
712256555343433100
oct1211741071711654
9185123302753237
1044663514305452
111325a7654a4a69
1250141086a4ba4
131bbc99c885653
14b05a23195900
15526c01a7d437
hex289f08e793ac

44663514305452 has 144 divisors (see below), whose sum is σ = 96717808373760. Its totient is φ = 17954068099968.

The previous prime is 44663514305447. The next prime is 44663514305489. The reversal of 44663514305452 is 25450341536644.

44663514305452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×446635143054522 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 44663514305452.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 448888453 + ... + 448987939.

It is an arithmetic number, because the mean of its divisors is an integer number (671651447040).

Almost surely, 244663514305452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44663514305452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48358904186880).

44663514305452 is an abundant number, since it is smaller than the sum of its proper divisors (52054294068308).

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

44663514305452 is a wasteful number, since it uses less digits than its factorization.

44663514305452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101460 (or 101451 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 52.

The spelling of 44663514305452 in words is "forty-four trillion, six hundred sixty-three billion, five hundred fourteen million, three hundred five thousand, four hundred fifty-two".

Divisors: 1 2 4 7 14 23 28 46 49 53 92 98 106 161 196 212 322 371 644 742 1127 1219 1484 1879 2254 2438 2597 3758 4508 4876 5194 7516 8533 10388 13153 17066 26306 34132 43217 52612 59731 86434 92071 99487 99587 119462 172868 184142 198974 199174 238924 302519 368284 397948 398348 605038 696409 697109 1210076 1392818 1394218 2117633 2288201 2290501 2785636 2788436 4235266 4576402 4581002 4874863 4879763 5272811 8470532 9152804 9162004 9749726 9759526 10545622 16017407 16033507 19499452 19519052 21091244 32034814 32067014 36909677 64069628 64134028 73819354 112121849 112234549 121274653 147638708 186936073 224243698 224469098 242549306 258367739 373872146 448487396 448938196 485098612 516735478 747744292 848922571 1033470956 1308552511 1697845142 2617105022 3395690284 4299529679 5234210044 5942457997 8599059358 9159867577 9907611869 11884915994 17198118716 18319735154 19815223738 23769831988 30096707753 36639470308 39630447476 60193415506 69353283083 120386831012 138706566166 210676954271 227875072987 277413132332 421353908542 455750145974 485472981581 842707817084 911500291948 970945963162 1595125510909 1941891926324 3190251021818 6380502043636 11165878576363 22331757152726 44663514305452