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104664822848 = 2631611734999
BaseRepresentation
bin110000101111010000…
…0100111010001000000
3101000011021022220012022
41201132200213101000
53203323143312343
6120025442221012
710363456213055
oct1413640472100
9330137286168
10104664822848
114042a6225a3
1218350054768
139b400a4c51
1450cc7d302c
152ac8a34568
hex185e827440

104664822848 has 112 divisors (see below), whose sum is σ = 219212160000. Its totient is φ = 49516185600.

The previous prime is 104664822827. The next prime is 104664822883. The reversal of 104664822848 is 848228466401.

It is a super-2 number, since 2×1046648228482 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 104664822848.

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, 20934653 + ... + 20939651.

Almost surely, 2104664822848 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 104664822848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109606080000).

104664822848 is an abundant number, since it is smaller than the sum of its proper divisors (114547337152).

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

104664822848 is a wasteful number, since it uses less digits than its factorization.

104664822848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5276 (or 5266 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 53.

The spelling of 104664822848 in words is "one hundred four billion, six hundred sixty-four million, eight hundred twenty-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 31 32 61 62 64 122 124 173 244 248 346 488 496 692 976 992 1384 1891 1952 1984 2768 3782 3904 4999 5363 5536 7564 9998 10553 10726 11072 15128 19996 21106 21452 30256 39992 42212 42904 60512 79984 84424 85808 121024 154969 159968 168848 171616 304939 309938 319936 327143 337696 343232 609878 619876 654286 675392 864827 1219756 1239752 1308572 1729654 2439512 2479504 2617144 3459308 4879024 4959008 5234288 6918616 9453109 9758048 9918016 10468576 13837232 18906218 19516096 20937152 26809637 27674464 37812436 52754447 53619274 55348928 75624872 105508894 107238548 151249744 211017788 214477096 302499488 422035576 428954192 604998976 844071152 857908384 1635387857 1688142304 1715816768 3270775714 3376284608 6541551428 13083102856 26166205712 52332411424 104664822848