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104722460856 = 233213232211499
BaseRepresentation
bin110000110000111110…
…0011111000010111000
3101000022021210012200100
41201201330133002320
53203432422221411
6120035301435400
710365056141646
oct1414174370270
9330267705610
10104722460856
114045a10a912
121836740bb60
139b4c005a90
1450d6318196
152acdb1c456
hex1861f1f0b8

104722460856 has 144 divisors (see below), whose sum is σ = 319299435000. Its totient is φ = 30821180544.

The previous prime is 104722460839. The next prime is 104722460939. The reversal of 104722460856 is 658064227401.

104722460856 is a `hidden beast` number, since 10 + 4 + 7 + 2 + 24 + 608 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 389395 + ... + 600893.

Almost surely, 2104722460856 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 104722460856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159649717500).

104722460856 is an abundant number, since it is smaller than the sum of its proper divisors (214576974144).

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

104722460856 is a wasteful number, since it uses less digits than its factorization.

104722460856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211570 (or 211540 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 104722460856 in words is "one hundred four billion, seven hundred twenty-two million, four hundred sixty thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 23 24 26 36 39 46 52 69 72 78 92 104 117 138 156 184 207 234 276 299 312 414 468 529 552 598 828 897 936 1058 1196 1587 1656 1794 2116 2392 2691 3174 3588 4232 4761 5382 6348 6877 7176 9522 10764 12696 13754 19044 20631 21528 27508 38088 41262 55016 61893 82524 123786 165048 211499 247572 422998 495144 634497 845996 1268994 1691992 1903491 2537988 2749487 3806982 4864477 5075976 5498974 7613964 8248461 9728954 10997948 14593431 15227928 16496922 19457908 21995896 24745383 29186862 32993844 38915816 43780293 49490766 58373724 63238201 65987688 87560586 98981532 111882971 116747448 126476402 175121172 189714603 197963064 223765942 252952804 335648913 350242344 379429206 447531884 505905608 569143809 671297826 758858412 895063768 1006946739 1138287618 1342595652 1454478623 1517716824 2013893478 2276575236 2685191304 2908957246 4027786956 4363435869 4553150472 5817914492 8055573912 8726871738 11635828984 13090307607 17453743476 26180615214 34907486952 52361230428 104722460856