Search a number
-
+
13456543374624 = 253722998643439
BaseRepresentation
bin1100001111010001100001…
…1111001101110100100000
31202122102200122101221102110
43003310120133031310200
53230433000100441444
644341503425315320
72556126455302200
oct303643037156440
952572618357373
1013456543374624
114318984a18369
121613b75195b40
13767c3c892b7c
1434742b970400
151850800e2cb9
hexc3d187cdd20

13456543374624 has 144 divisors (see below), whose sum is σ = 42507431164800. Its totient is φ = 3712149858816.

The previous prime is 13456543374583. The next prime is 13456543374671. The reversal of 13456543374624 is 42647334565431.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49185304 + ... + 49458135.

It is an arithmetic number, because the mean of its divisors is an integer number (295190494200).

Almost surely, 213456543374624 is an apocalyptic number.

13456543374624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13456543374624 is an abundant number, since it is smaller than the sum of its proper divisors (29050887790176).

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

13456543374624 is a wasteful number, since it uses less digits than its factorization.

13456543374624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98643495 (or 98643480 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 57.

The spelling of 13456543374624 in words is "thirteen trillion, four hundred fifty-six billion, five hundred forty-three million, three hundred seventy-four thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 49 56 58 84 87 96 98 112 116 147 168 174 196 203 224 232 294 336 348 392 406 464 588 609 672 696 784 812 928 1176 1218 1392 1421 1568 1624 2352 2436 2784 2842 3248 4263 4704 4872 5684 6496 8526 9744 11368 17052 19488 22736 34104 45472 68208 136416 98643439 197286878 295930317 394573756 591860634 690504073 789147512 1183721268 1381008146 1578295024 2071512219 2367442536 2762016292 2860659731 3156590048 4143024438 4734885072 4833528511 5524032584 5721319462 8286048876 8581979193 9469770144 9667057022 11048065168 11442638924 14500585533 16572097752 17163958386 19334114044 20024618117 22096130336 22885277848 29001171066 33144195504 34327916772 38668228088 40049236234 45770555696 58002342132 60073854351 66288391008 68655833544 77336456176 80098472468 91541111392 116004684264 120147708702 137311667088 140172326819 154672912352 160196944936 232009368528 240295417404 274623334176 280344653638 320393889872 420516980457 464018737056 480590834808 560689307276 640787779744 841033960914 961181669616 1121378614552 1682067921828 1922363339232 2242757229104 3364135843656 4485514458208 6728271687312 13456543374624