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12008451340548 = 22321321973775697
BaseRepresentation
bin1010111010111110111101…
…1110011111100100000100
31120111222220121202200112100
42232233233132133210010
53033221302020344143
641312334551352100
72346403422144225
oct256575736374404
946458817680470
1012008451340548
11390a8347a4073
12141b39a082630
136915135ab900
142d72d81b324c
1515c579d716d3
hexaebef79f904

12008451340548 has 54 divisors (see below), whose sum is σ = 32869286698794. Its totient is φ = 3694908102912.

The previous prime is 12008451340547. The next prime is 12008451340553. The reversal of 12008451340548 is 84504315480021.

12008451340548 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 84 + 513 + 4 + 0 + 54 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 434357447364 + 11574093893184 = 659058^2 + 3402072^2 .

It is not an unprimeable number, because it can be changed into a prime (12008451340547) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 986881765 + ... + 986893932.

Almost surely, 212008451340548 is an apocalyptic number.

12008451340548 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12008451340548 is an abundant number, since it is smaller than the sum of its proper divisors (20860835358246).

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

12008451340548 is a wasteful number, since it uses less digits than its factorization.

12008451340548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973775733 (or 1973775715 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 12008451340548 in words is "twelve trillion, eight billion, four hundred fifty-one million, three hundred forty thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 6084 1973775697 3947551394 5921327091 7895102788 11842654182 17763981273 23685308364 25659084061 35527962546 51318168122 71055925092 76977252183 102636336244 153954504366 230931756549 307909008732 333568092793 461863513098 667136185586 923727026196 1000704278379 1334272371172 2001408556758 3002112835137 4002817113516 6004225670274 12008451340548