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5738316600352 = 257241432075803
BaseRepresentation
bin101001110000000111001…
…0100101001010000100000
3202022120121011001111110111
41103200032110221100200
51223004033022202402
620112051331341104
71131402556213600
oct123401624512040
922276534044414
105738316600352
11191267413a116
1278815a751794
133281758ca09b
1415ba43854c00
159e4005da9d7
hex5380e529420

5738316600352 has 144 divisors (see below), whose sum is σ = 13775384079072. Its totient is φ = 2343497425920.

The previous prime is 5738316600347. The next prime is 5738316600353. The reversal of 5738316600352 is 2530066138375.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a junction number, because it is equal to n+sod(n) for n = 5738316600296 and 5738316600305.

It is not an unprimeable number, because it can be changed into a prime (5738316600353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1726483 + ... + 3802285.

It is an arithmetic number, because the mean of its divisors is an integer number (95662389438).

Almost surely, 25738316600352 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 5738316600352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6887692039536).

5738316600352 is an abundant number, since it is smaller than the sum of its proper divisors (8037067478720).

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

5738316600352 is a wasteful number, since it uses less digits than its factorization.

5738316600352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075911 (or 2075896 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 49.

The spelling of 5738316600352 in words is "five trillion, seven hundred thirty-eight billion, three hundred sixteen million, six hundred thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 41 43 49 56 82 86 98 112 164 172 196 224 287 301 328 344 392 574 602 656 688 784 1148 1204 1312 1376 1568 1763 2009 2107 2296 2408 3526 4018 4214 4592 4816 7052 8036 8428 9184 9632 12341 14104 16072 16856 24682 28208 32144 33712 49364 56416 64288 67424 86387 98728 172774 197456 345548 394912 691096 1382192 2075803 2764384 4151606 8303212 14530621 16606424 29061242 33212848 58122484 66425696 85107923 89259529 101714347 116244968 170215846 178519058 203428694 232489936 340431692 357038116 406857388 464979872 595755461 624816703 680863384 714076232 813714776 1191510922 1249633406 1361726768 1428152464 1627429552 2383021844 2499266812 2723453536 2856304928 3254859104 3659640689 4170288227 4373716921 4766043688 4998533624 7319281378 8340576454 8747433842 9532087376 9997067248 14638562756 16681152908 17494867684 19064174752 19994134496 25617484823 29277125512 33362305816 34989735368 51234969646 58554251024 66724611632 69979470736 102469939292 117108502048 133449223264 139958941472 179322393761 204939878584 358644787522 409879757168 717289575044 819759514336 1434579150088 2869158300176 5738316600352