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320381078900 = 225247128952883
BaseRepresentation
bin1001010100110000011…
…00110100110101110100
31010121221220112002222012
410222120030310311310
520222120024011100
6403103034223352
732101225144421
oct4523014646564
91117856462865
10320381078900
11113966848563
1252112b84b58
132429a4517cc
1411713ca4d48
158501b02135
hex4a98334d74

320381078900 has 72 divisors (see below), whose sum is σ = 710583269760. Its totient is φ = 125326109440.

The previous prime is 320381078887. The next prime is 320381078987. The reversal of 320381078900 is 9870183023.

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, 6031859 + ... + 6084741.

It is an arithmetic number, because the mean of its divisors is an integer number (9869212080).

Almost surely, 2320381078900 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 320381078900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355291634880).

320381078900 is an abundant number, since it is smaller than the sum of its proper divisors (390202190860).

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

320381078900 is a wasteful number, since it uses less digits than its factorization.

320381078900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54233 (or 54226 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The spelling of 320381078900 in words is "three hundred twenty billion, three hundred eighty-one million, seventy-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 940 1175 1289 2350 2578 4700 5156 6445 12890 25780 32225 52883 60583 64450 105766 121166 128900 211532 242332 264415 302915 528830 605830 1057660 1211660 1322075 1514575 2485501 2644150 3029150 4971002 5288300 6058300 9942004 12427505 24855010 49710020 62137525 68166187 124275050 136332374 248550100 272664748 340830935 681661870 1363323740 1704154675 3203810789 3408309350 6407621578 6816618700 12815243156 16019053945 32038107890 64076215780 80095269725 160190539450 320381078900