Search a number
-
+
447730891504 = 241323119792699
BaseRepresentation
bin1101000001111101101…
…01110011101011110000
31120210200010122212221021
412200332311303223300
524313423102012004
6541403522505224
744230121533051
oct6407665635360
91523603585837
10447730891504
11162977463676
1272934205214
13332b4260900
14179553c6728
15b9a6e6ed54
hex683ed73af0

447730891504 has 120 divisors (see below), whose sum is σ = 970491456000. Its totient is φ = 199803951360.

The previous prime is 447730891409. The next prime is 447730891513. The reversal of 447730891504 is 405198037744.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

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, 165886347 + ... + 165889045.

It is an arithmetic number, because the mean of its divisors is an integer number (8087428800).

Almost surely, 2447730891504 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 447730891504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485245728000).

447730891504 is an abundant number, since it is smaller than the sum of its proper divisors (522760564496).

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

447730891504 is a wasteful number, since it uses less digits than its factorization.

447730891504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4743 (or 4724 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 52.

The spelling of 447730891504 in words is "four hundred forty-seven billion, seven hundred thirty million, eight hundred ninety-one thousand, five hundred four".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 169 208 248 338 403 496 676 806 1352 1612 1979 2699 2704 3224 3958 5239 5398 6448 7916 10478 10796 15832 20956 21592 25727 31664 35087 41912 43184 51454 61349 70174 83669 83824 102908 122698 140348 167338 205816 245396 280696 334451 334676 411632 456131 490792 561392 668902 669352 797537 912262 981584 1087697 1337804 1338704 1595074 1824524 2175394 2675608 3190148 3649048 4350788 5341321 5351216 6380296 7298096 8701576 10367981 10682642 12760592 14140061 17403152 20735962 21365284 28280122 41471924 42730568 56560244 69437173 82943848 85461136 113120488 138874346 165580951 165887696 226240976 277748692 331161902 555497384 662323804 902683249 1110994768 1324647608 1805366498 2152552363 2649295216 3610732996 4305104726 7221465992 8610209452 14442931984 17220418904 27983180719 34440837808 55966361438 111932722876 223865445752 447730891504