Search a number
-
+
96023573856 = 2532755785513
BaseRepresentation
bin101100101101101110…
…0110111010101100000
3100011212001021222001100
41121123130313111200
53033124013330411
6112040154234400
76636360624240
oct1313334672540
9304761258040
1096023573856
11377a5893301
121673a125a00
139093a53072
14490ccc5b20
1527700be456
hex165b737560

96023573856 has 144 divisors (see below), whose sum is σ = 312640552224. Its totient is φ = 27385731072.

The previous prime is 96023573843. The next prime is 96023573869. The reversal of 96023573856 is 65837532069.

It is a happy number.

96023573856 is a `hidden beast` number, since 9 + 60 + 2 + 3 + 573 + 8 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (96023573843) and next prime (96023573869).

It is a tau number, because it is divible by the number of its divisors (144).

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, 1080156 + ... + 1165668.

It is an arithmetic number, because the mean of its divisors is an integer number (2171114946).

Almost surely, 296023573856 is an apocalyptic number.

96023573856 is a gapful number since it is divisible by the number (96) 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 96023573856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156320276112).

96023573856 is an abundant number, since it is smaller than the sum of its proper divisors (216616978368).

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

96023573856 is a wasteful number, since it uses less digits than its factorization.

96023573856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86093 (or 86082 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 96023573856 in words is "ninety-six billion, twenty-three million, five hundred seventy-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 557 672 1008 1114 1671 2016 2228 3342 3899 4456 5013 6684 7798 8912 10026 11697 13368 15596 17824 20052 23394 26736 31192 35091 40104 46788 53472 62384 70182 80208 85513 93576 124768 140364 160416 171026 187152 256539 280728 342052 374304 513078 561456 598591 684104 769617 1026156 1122912 1197182 1368208 1539234 1795773 2052312 2394364 2736416 3078468 3591546 4104624 4788728 5387319 6156936 7183092 8209248 9577456 10774638 12313872 14366184 19154912 21549276 24627744 28732368 43098552 47630741 57464736 86197104 95261482 142892223 172394208 190522964 285784446 333415187 381045928 428676669 571568892 666830374 762091856 857353338 1000245561 1143137784 1333660748 1524183712 1714706676 2000491122 2286275568 2667321496 3000736683 3429413352 4000982244 4572551136 5334642992 6001473366 6858826704 8001964488 10669285984 12002946732 13717653408 16003928976 24005893464 32007857952 48011786928 96023573856