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19740447504 = 2432594215519
BaseRepresentation
bin10010011000100111…
…110101001100010000
31212221202010122011100
4102120213311030100
5310412023310004
613022454144400
71266121015041
oct223047651420
955852118140
1019740447504
11840aa71428
1239ab052100
131b2799c28b
14d53a408c8
157a809b739
hex4989f5310

19740447504 has 120 divisors (see below), whose sum is σ = 56325859200. Its totient is φ = 6452087040.

The previous prime is 19740447479. The next prime is 19740447527. The reversal of 19740447504 is 40574404791.

19740447504 is a `hidden beast` number, since 197 + 404 + 4 + 7 + 50 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 19740447504.

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, 3574057 + ... + 3579575.

It is an arithmetic number, because the mean of its divisors is an integer number (469382160).

Almost surely, 219740447504 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 19740447504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28162929600).

19740447504 is an abundant number, since it is smaller than the sum of its proper divisors (36585411696).

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

19740447504 is a wasteful number, since it uses less digits than its factorization.

19740447504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6013 (or 6004 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 19740447504 in words is "nineteen billion, seven hundred forty million, four hundred forty-seven thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 177 236 354 421 472 531 708 842 944 1062 1263 1416 1684 2124 2526 2832 3368 3789 4248 5052 5519 6736 7578 8496 10104 11038 15156 16557 20208 22076 24839 30312 33114 44152 49671 49678 60624 66228 74517 88304 99342 99356 132456 149034 198684 198712 223551 264912 298068 325621 397368 397424 447102 596136 651242 794736 894204 976863 1192272 1302484 1788408 1953726 2323499 2604968 2930589 3576816 3907452 4646998 5209936 5861178 6970497 7814904 9293996 11722356 13940994 15629808 18587992 20911491 23444712 27881988 37175984 41822982 46889424 55763976 83645964 111527952 137086441 167291928 274172882 334583856 411259323 548345764 822518646 1096691528 1233777969 1645037292 2193383056 2467555938 3290074584 4935111876 6580149168 9870223752 19740447504