Search a number
-
+
13347628380480 = 263534740068529
BaseRepresentation
bin1100001000111011110010…
…1001011111000101000000
31202021000120011121222021110
43002032330221133011000
53222141420331133410
644215452115123320
72545222450155132
oct302167451370500
952230504558243
1013347628380480
114286774281209
1215b6a398a3540
1375a8a30c6b84
14342058905052
151823083bd720
hexc23bca5f140

13347628380480 has 112 divisors (see below), whose sum is σ = 42500850045120. Its totient is φ = 3549109936128.

The previous prime is 13347628380469. The next prime is 13347628380503. The reversal of 13347628380480 is 8408382674331.

It is a self number, because there is not a number n which added to its sum of digits gives 13347628380480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19701145 + ... + 20367384.

Almost surely, 213347628380480 is an apocalyptic number.

13347628380480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13347628380480 is an abundant number, since it is smaller than the sum of its proper divisors (29153221664640).

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

13347628380480 is a wasteful number, since it uses less digits than its factorization.

13347628380480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40068896 (or 40068886 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 57.

The spelling of 13347628380480 in words is "thirteen trillion, three hundred forty-seven billion, six hundred twenty-eight million, three hundred eighty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 347 480 694 960 1041 1388 1735 2082 2776 3470 4164 5205 5552 6940 8328 10410 11104 13880 16656 20820 22208 27760 33312 41640 55520 66624 83280 111040 166560 333120 40068529 80137058 120205587 160274116 200342645 240411174 320548232 400685290 480822348 601027935 641096464 801370580 961644696 1202055870 1282192928 1602741160 1923289392 2404111740 2564385856 3205482320 3846578784 4808223480 6410964640 7693157568 9616446960 12821929280 13903779563 19232893920 27807559126 38465787840 41711338689 55615118252 69518897815 83422677378 111230236504 139037795630 166845354756 208556693445 222460473008 278075591260 333690709512 417113386890 444920946016 556151182520 667381419024 834226773780 889841892032 1112302365040 1334762838048 1668453547560 2224604730080 2669525676096 3336907095120 4449209460160 6673814190240 13347628380480