Search a number
-
+
87297446304 = 2533691146221
BaseRepresentation
bin101000101001101010…
…1010101000110100000
322100022220112202102000
41101103111111012200
52412241121240204
6104034235124000
76210212023155
oct1212325250640
9270286482360
1087297446304
1134028150542
1214b038a3600
138302c53393
14432200222c
15240de90039
hex14535551a0

87297446304 has 96 divisors (see below), whose sum is σ = 254987772480. Its totient is φ = 29056838400.

The previous prime is 87297446293. The next prime is 87297446333. The reversal of 87297446304 is 40364479278.

87297446304 is a `hidden beast` number, since 8 + 7 + 297 + 4 + 46 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 523914 + ... + 670134.

It is an arithmetic number, because the mean of its divisors is an integer number (2656122630).

Almost surely, 287297446304 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 87297446304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127493886240).

87297446304 is an abundant number, since it is smaller than the sum of its proper divisors (167690326176).

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

87297446304 is a wasteful number, since it uses less digits than its factorization.

87297446304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146931 (or 146917 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 87297446304 in words is "eighty-seven billion, two hundred ninety-seven million, four hundred forty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 691 864 1382 2073 2764 4146 5528 6219 8292 11056 12438 16584 18657 22112 24876 33168 37314 49752 66336 74628 99504 146221 149256 199008 292442 298512 438663 584884 597024 877326 1169768 1315989 1754652 2339536 2631978 3509304 3947967 4679072 5263956 7018608 7895934 10527912 14037216 15791868 21055824 31583736 42111648 63167472 101038711 126334944 202077422 303116133 404154844 606232266 808309688 909348399 1212464532 1616619376 1818696798 2424929064 2728045197 3233238752 3637393596 4849858128 5456090394 7274787192 9699716256 10912180788 14549574384 21824361576 29099148768 43648723152 87297446304