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12480396480 = 263254333471
BaseRepresentation
bin10111001111110001…
…11011110011000000
31012012210001211102200
423213320323303000
5201024440141410
65422230113200
7621163422366
oct134770736300
935183054380
1012480396480
115324949662
1225037ab800
13123b844ab6
1486574d636
154d0a153c0
hex2e7e3bcc0

12480396480 has 84 divisors (see below), whose sum is σ = 42927373632. Its totient is φ = 3328104960.

The previous prime is 12480396479. The next prime is 12480396493. The reversal of 12480396480 is 8469308421.

It is a happy number.

12480396480 is a `hidden beast` number, since 1 + 2 + 4 + 80 + 3 + 96 + 480 = 666.

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2163856 + ... + 2169615.

Almost surely, 212480396480 is an apocalyptic number.

12480396480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12480396480 is an abundant number, since it is smaller than the sum of its proper divisors (30446977152).

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

12480396480 is a wasteful number, since it uses less digits than its factorization.

12480396480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4333494 (or 4333481 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 12480396480 in words is "twelve billion, four hundred eighty million, three hundred ninety-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 4333471 8666942 13000413 17333884 21667355 26000826 34667768 39001239 43334710 52001652 65002065 69335536 78002478 86669420 104003304 130004130 138671072 156004956 173338840 195006195 208006608 260008260 277342144 312009912 346677680 390012390 416013216 520016520 624019824 693355360 780024780 832026432 1040033040 1248039648 1386710720 1560049560 2080066080 2496079296 3120099120 4160132160 6240198240 12480396480