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320681407008 = 25329805914293
BaseRepresentation
bin1001010101010100001…
…10011111001000100000
31010122201211122100200110
410222222012133020200
520223223420011013
6403152523251320
732111532661524
oct4525206371040
91118654570613
10320681407008
11114000326506
1252197679b40
1324317735a51
1411741b21d84
15851d1782c3
hex4aaa19f220

320681407008 has 96 divisors (see below), whose sum is σ = 870984878400. Its totient is φ = 103187782656.

The previous prime is 320681407001. The next prime is 320681407031. The reversal of 320681407008 is 800704186023.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×3206814070083 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (320681407001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22429110 + ... + 22443402.

It is an arithmetic number, because the mean of its divisors is an integer number (9072759150).

Almost surely, 2320681407008 is an apocalyptic number.

It is an amenable number.

320681407008 is an abundant number, since it is smaller than the sum of its proper divisors (550303471392).

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

320681407008 is a wasteful number, since it uses less digits than its factorization.

320681407008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22394 (or 22386 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 320681407008 in words is "three hundred twenty billion, six hundred eighty-one million, four hundred seven thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 8059 14293 16118 24177 28586 32236 42879 48354 57172 64472 85758 96708 114344 128944 171516 193416 228688 233711 257888 343032 386832 414497 457376 467422 686064 701133 773664 828994 934844 1243491 1372128 1402266 1657988 1869688 2486982 2804532 3315976 3739376 4973964 5609064 6631952 7478752 9947928 11218128 13263904 19895856 22436256 39791712 115187287 230374574 345561861 460749148 691123722 921498296 1382247444 1842996592 2764494888 3340431323 3685993184 5528989776 6680862646 10021293969 11057979552 13361725292 20042587938 26723450584 40085175876 53446901168 80170351752 106893802336 160340703504 320681407008