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408799670472 = 2334251172
BaseRepresentation
bin1011111001011100101…
…10111111000011001000
31110002011221200221120000
411330232112333003020
523144210203423342
6511444443403000
741351302602654
oct5745626770310
91402157627500
10408799670472
11148409836036
126728a223460
132c71b74a34b
1415b00b4ba64
15a97920344c
hex5f2e5bf0c8

408799670472 has 60 divisors (see below), whose sum is σ = 1145063184705. Its totient is φ = 136261131552.

The previous prime is 408799670459. The next prime is 408799670533. The reversal of 408799670472 is 274076997804.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

408799670472 is a `hidden beast` number, since 4 + 0 + 8 + 7 + 9 + 96 + 70 + 472 = 666.

408799670472 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 405496409796 + 3303260676 = 636786^2 + 57474^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=452106.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 16263258 + ... + 16288374.

Almost surely, 2408799670472 is an apocalyptic number.

It is an amenable number.

408799670472 is an abundant number, since it is smaller than the sum of its proper divisors (736263514233).

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

408799670472 is an frugal number, since it uses more digits than its factorization.

408799670472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50252 (or 25122 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 408799670472 in words is "four hundred eight billion, seven hundred ninety-nine million, six hundred seventy thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 25117 50234 75351 100468 150702 200936 226053 301404 452106 602808 678159 904212 1356318 1808424 2034477 2712636 4068954 5425272 8137908 16275816 630863689 1261727378 1892591067 2523454756 3785182134 5046909512 5677773201 7570364268 11355546402 15140728536 17033319603 22711092804 34066639206 45422185608 51099958809 68133278412 102199917618 136266556824 204399835236 408799670472