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408099368080 = 24510135035777
BaseRepresentation
bin1011111000001001001…
…11100010110010010000
31110000101010221220021101
411330010213202302100
523141241414234310
6511251145434144
741325040252015
oct5740447426220
91400333856241
10408099368080
1114808a4aa528
126711379b954
132c639633431
1415a75b3570c
15a9379c143a
hex5f049e2c90

408099368080 has 40 divisors (see below), whose sum is σ = 949767873912. Its totient is φ = 163078569984.

The previous prime is 408099368069. The next prime is 408099368099. The reversal of 408099368080 is 80863990804.

It can be written as a sum of positive squares in 4 ways, for example, as 12951350416 + 395148017664 = 113804^2 + 628608^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2436849 + ... + 2598928.

Almost surely, 2408099368080 is an apocalyptic number.

408099368080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

408099368080 is an abundant number, since it is smaller than the sum of its proper divisors (541668505832).

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

408099368080 is a wasteful number, since it uses less digits than its factorization.

408099368080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5036803 (or 5036797 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 55.

The spelling of 408099368080 in words is "four hundred eight billion, ninety-nine million, three hundred sixty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1013 2026 4052 5065 8104 10130 16208 20260 40520 81040 5035777 10071554 20143108 25178885 40286216 50357770 80572432 100715540 201431080 402862160 5101242101 10202484202 20404968404 25506210505 40809936808 51012421010 81619873616 102024842020 204049684040 408099368080