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5813738914944 = 27383359508103
BaseRepresentation
bin101010010011001110111…
…0101111100010010000000
3202120210021110110001121110
41110212131311330102000
51230223014130234234
620210443401323320
71140012604261602
oct124463565742200
922523243401543
105813738914944
111941658065414
1279a8a9496540
133323055286bc
1416155a661172
15a1366c731e9
hex5499dd7c480

5813738914944 has 128 divisors (see below), whose sum is σ = 15672366259200. Its totient is φ = 1909227815936.

The previous prime is 5813738914943. The next prime is 5813738914967. The reversal of 5813738914944 is 4494198373185.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×58137389149442 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5813738914943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11187997 + ... + 11696099.

It is an arithmetic number, because the mean of its divisors is an integer number (122440361400).

Almost surely, 25813738914944 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 5813738914944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7836183129600).

5813738914944 is an abundant number, since it is smaller than the sum of its proper divisors (9858627344256).

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

5813738914944 is a wasteful number, since it uses less digits than its factorization.

5813738914944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508562 (or 508550 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 66.

The spelling of 5813738914944 in words is "five trillion, eight hundred thirteen billion, seven hundred thirty-eight million, nine hundred fourteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 332 359 384 498 664 718 996 1077 1328 1436 1992 2154 2656 2872 3984 4308 5312 5744 7968 8616 10624 11488 15936 17232 22976 29797 31872 34464 45952 59594 68928 89391 119188 137856 178782 238376 357564 476752 508103 715128 953504 1016206 1430256 1524309 1907008 2032412 2860512 3048618 3814016 4064824 5721024 6097236 8129648 11442048 12194472 16259296 24388944 32518592 42172549 48777888 65037184 84345098 97555776 126517647 168690196 182408977 195111552 253035294 337380392 364817954 506070588 547226931 674760784 729635908 1012141176 1094453862 1349521568 1459271816 2024282352 2188907724 2699043136 2918543632 4048564704 4377815448 5398086272 5837087264 8097129408 8755630896 11674174528 15139945091 16194258816 17511261792 23348349056 30279890182 35022523584 45419835273 60559780364 70045047168 90839670546 121119560728 181679341092 242239121456 363358682184 484478242912 726717364368 968956485824 1453434728736 1937912971648 2906869457472 5813738914944