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320450664312 = 23326797684829
BaseRepresentation
bin1001010100111000101…
…10010001011101111000
31010122010202110102012200
410222130112101131320
520222240332224222
6403114001510200
732103031463352
oct4523426213570
91118122412180
10320450664312
111139a2056069
1252132342360
13242ab9a66cc
141171d21a0d2
158507c99eac
hex4a9c591778

320450664312 has 96 divisors (see below), whose sum is σ = 889922888400. Its totient is φ = 104137684992.

The previous prime is 320450664311. The next prime is 320450664337. The reversal of 320450664312 is 213466054023.

320450664312 is a `hidden beast` number, since 3 + 2 + 0 + 4 + 5 + 0 + 6 + 643 + 1 + 2 = 666.

It is a super-2 number, since 2×3204506643122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320450664311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125514 + ... + 810342.

Almost surely, 2320450664312 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 320450664312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444961444200).

320450664312 is an abundant number, since it is smaller than the sum of its proper divisors (569472224088).

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

320450664312 is a wasteful number, since it uses less digits than its factorization.

320450664312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685005 (or 684998 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 320450664312 in words is "three hundred twenty billion, four hundred fifty million, six hundred sixty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 67 72 97 134 194 201 268 291 388 402 536 582 603 776 804 873 1164 1206 1608 1746 2328 2412 3492 4824 6499 6984 12998 19497 25996 38994 51992 58491 77988 116982 155976 233964 467928 684829 1369658 2054487 2739316 4108974 5478632 6163461 8217948 12326922 16435896 24653844 45883543 49307688 66428413 91767086 132856826 137650629 183534172 199285239 265713652 275301258 367068344 398570478 412951887 531427304 550602516 597855717 797140956 825903774 1101205032 1195711434 1594281912 1651807548 2391422868 3303615096 4450703671 4782845736 8901407342 13352111013 17802814684 26704222026 35605629368 40056333039 53408444052 80112666078 106816888104 160225332156 320450664312