Search a number
-
+
13752485007680 = 265439683314327
BaseRepresentation
bin1100100000011111111111…
…1110111101000101000000
31210200201120022210120022202
43020013333332331011000
53300310042130221210
645125445425452332
72616404253545126
oct310077776750500
953621508716282
1013752485007680
11442243a2954a1
1216613a74a10a8
13789b13975503
143578a3ac7916
1518cb0134c9a5
hexc81fffbd140

13752485007680 has 112 divisors (see below), whose sum is σ = 32829796834560. Its totient is φ = 5487277006848.

The previous prime is 13752485007647. The next prime is 13752485007719. The reversal of 13752485007680 is 8670058425731.

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, 959892677 + ... + 959907003.

Almost surely, 213752485007680 is an apocalyptic number.

13752485007680 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 13752485007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16414898417280).

13752485007680 is an abundant number, since it is smaller than the sum of its proper divisors (19077311826880).

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

13752485007680 is a wasteful number, since it uses less digits than its factorization.

13752485007680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21616 (or 21606 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 56.

The spelling of 13752485007680 in words is "thirteen trillion, seven hundred fifty-two billion, four hundred eighty-five million, seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 439 878 1756 2195 3512 4390 6833 7024 8780 13666 14048 14327 17560 27332 28096 28654 34165 35120 54664 57308 68330 70240 71635 109328 114616 136660 140480 143270 218656 229232 273320 286540 437312 458464 546640 573080 916928 1093280 1146160 2186560 2292320 2999687 4584640 5999374 6289553 11998748 12579106 14998435 23997496 25158212 29996870 31447765 47994992 50316424 59993740 62895530 95989984 97896391 100632848 119987480 125791060 191979968 195792782 201265696 239974960 251582120 391585564 402531392 479949920 489481955 503164240 783171128 959899840 978963910 1006328480 1566342256 1957927820 2012656960 3132684512 3915855640 6265369024 7831711280 15663422560 31326845120 42976515649 85953031298 171906062596 214882578245 343812125192 429765156490 687624250384 859530312980 1375248500768 1719060625960 2750497001536 3438121251920 6876242503840 13752485007680