Search a number
-
+
13749489025360 = 24511172521364571
BaseRepresentation
bin1100100000010100110101…
…1010001100000101010000
31210200102211112022220012121
43020011031122030011100
53300232423142302420
645124232243304024
72616240104244604
oct310051532140520
953612745286177
1013749489025360
114421142119650
1216608b007b014
137897570698ca
1435769bc49504
1518c9c82ee2aa
hexc814d68c150

13749489025360 has 160 divisors (see below), whose sum is σ = 36939846662784. Its totient is φ = 4703827968000.

The previous prime is 13749489025273. The next prime is 13749489025397. The reversal of 13749489025360 is 6352098494731.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37531875 + ... + 37896445.

It is a 1-persistent number, because it is pandigital, but 2⋅13749489025360 = 27498978050720 is not.

Almost surely, 213749489025360 is an apocalyptic number.

13749489025360 is a gapful number since it is divisible by the number (10) 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 13749489025360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18469923331392).

13749489025360 is an abundant number, since it is smaller than the sum of its proper divisors (23190357637424).

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

13749489025360 is a wasteful number, since it uses less digits than its factorization.

13749489025360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367133 (or 367127 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 61.

The spelling of 13749489025360 in words is "thirteen trillion, seven hundred forty-nine billion, four hundred eighty-nine million, twenty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 374 440 680 748 880 935 1360 1496 1870 2521 2992 3740 5042 7480 10084 12605 14960 20168 25210 27731 40336 42857 50420 55462 85714 100840 110924 138655 171428 201680 214285 221848 277310 342856 364571 428570 443696 471427 554620 685712 729142 857140 942854 1109240 1458284 1714280 1822855 1885708 2218480 2357135 2916568 3428560 3645710 3771416 4010281 4714270 5833136 6197707 7291420 7542832 8020562 9428540 12395414 14582840 16041124 18857080 20051405 24790828 29165680 30988535 32082248 37714160 40102810 49581656 61977070 64164496 68174777 80205620 99163312 123954140 136349554 160411240 247908280 272699108 320822480 340873885 495816560 545398216 681747770 919083491 1090796432 1363495540 1838166982 2726991080 3676333964 4595417455 5453982160 7352667928 9190834910 10109918401 14705335856 15624419347 18381669820 20219836802 31248838694 36763339640 40439673604 50549592005 62497677388 73526679280 78122096735 80879347208 101099184010 124995354776 156244193470 161758694416 171868612817 202198368020 249990709552 312488386940 343737225634 404396736040 624976773880 687474451268 808793472080 859343064085 1249953547760 1374948902536 1718686128170 2749897805072 3437372256340 6874744512680 13749489025360