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404285386990688 = 25729426114605973
BaseRepresentation
bin101101111101100100000011…
…0111000010010010001100000
31222000110022020201221001112222
41123323020012320102101200
5410442302433032200223
63551502050502410212
7151104440526221330
oct13373100670222140
91860408221831488
10404285386990688
111078aa519292365
1239415272130968
1314477c438640c8
1471b97350410c0
1531b15cd9270c8
hex16fb206e12460

404285386990688 has 96 divisors (see below), whose sum is σ = 941229997162560. Its totient is φ = 167251232655360.

The previous prime is 404285386990621. The next prime is 404285386990697. The reversal of 404285386990688 is 886099683582404.

It is a congruent number.

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, 20376470 + ... + 34982442.

It is an arithmetic number, because the mean of its divisors is an integer number (9804479137110).

Almost surely, 2404285386990688 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 404285386990688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470614998581280).

404285386990688 is an abundant number, since it is smaller than the sum of its proper divisors (536944610171872).

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

404285386990688 is a wasteful number, since it uses less digits than its factorization.

404285386990688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14610280 (or 14610272 counting only the distinct ones).

The product of its (nonzero) digits is 5733089280, while the sum is 80.

The spelling of 404285386990688 in words is "four hundred four trillion, two hundred eighty-five billion, three hundred eighty-six million, nine hundred ninety thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 406 464 812 928 1624 3248 4261 6496 8522 17044 29827 34088 59654 68176 119308 123569 136352 238616 247138 477232 494276 864983 954464 988552 1729966 1977104 3459932 3954208 6919864 13839728 14605973 27679456 29211946 58423892 102241811 116847784 204483622 233695568 408967244 423573217 467391136 817934488 847146434 1635868976 1694292868 2965012519 3271737952 3388585736 5930025038 6777171472 11860050076 13554342944 23720100152 47440200304 62236050953 94880400608 124472101906 248944203812 435652356671 497888407624 871304713342 995776815248 1742609426684 1804845477637 1991553630496 3485218853368 3609690955274 6970437706736 7219381910548 12633918343459 13940875413472 14438763821096 25267836686918 28877527642192 50535673373836 57755055284384 101071346747672 202142693495344 404285386990688