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320428466460 = 223351751933871
BaseRepresentation
bin1001010100110110000…
…01100110000100011100
31010122002012200122111000
410222123001212010130
520222214141411320
6403111450030300
732102342011524
oct4523301460434
91118065618430
10320428466460
11113990574533
1252126a18390
13242a7203a9b
141171a2bc684
158505d62c90
hex4a9b06611c

320428466460 has 96 divisors (see below), whose sum is σ = 996974899200. Its totient is φ = 85440191040.

The previous prime is 320428466453. The next prime is 320428466473. The reversal of 320428466460 is 64664824023.

320428466460 is a `hidden beast` number, since 320 + 4 + 284 + 6 + 6 + 46 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9443325 + ... + 9477195.

It is an arithmetic number, because the mean of its divisors is an integer number (10385155200).

Almost surely, 2320428466460 is an apocalyptic number.

320428466460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320428466460 is an abundant number, since it is smaller than the sum of its proper divisors (676546432740).

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

320428466460 is a wasteful number, since it uses less digits than its factorization.

320428466460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51408 (or 51400 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 320428466460 in words is "three hundred twenty billion, four hundred twenty-eight million, four hundred sixty-six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 17519 33871 35038 52557 67742 70076 87595 101613 105114 135484 157671 169355 175190 203226 210228 262785 304839 315342 338710 350380 406452 473013 508065 525570 609678 630684 677420 788355 914517 946026 1016130 1051140 1219356 1524195 1576710 1829034 1892052 2032260 2365065 3048390 3153420 3658068 4572585 4730130 6096780 9145170 9460260 18290340 593386049 1186772098 1780158147 2373544196 2966930245 3560316294 5340474441 5933860490 7120632588 8900790735 10680948882 11867720980 16021423323 17801581470 21361897764 26702372205 32042846646 35603162940 53404744410 64085693292 80107116615 106809488820 160214233230 320428466460