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20012995823760 = 2432541216535293
BaseRepresentation
bin1001000110011101000111…
…00000011100100010010000
32121212020001002101202101200
410203032203200130202100
510110343103412330020
6110321502055431200
74133614456503612
oct443164340344220
977766032352350
1020012995823760
11641651144a855
1222b279b985500
13b222a9852894
144d28c421adb2
1524a8b5c60590
hex1233a381c890

20012995823760 has 180 divisors, whose sum is σ = 68889573356916. Its totient is φ = 5206632744960.

The previous prime is 20012995823759. The next prime is 20012995823771. The reversal of 20012995823760 is 6732859921002.

20012995823760 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 29 + 9 + 582 + 37 + 6 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4353532326144 + 15659463497616 = 2086512^2 + 3957204^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a junction number, because it is equal to n+sod(n) for n = 20012995823697 and 20012995823706.

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 35 ways as a sum of consecutive naturals, for example, 7057327 + ... + 9477966.

Almost surely, 220012995823760 is an apocalyptic number.

20012995823760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20012995823760 is an abundant number, since it is smaller than the sum of its proper divisors (48876577533156).

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

20012995823760 is a wasteful number, since it uses less digits than its factorization.

20012995823760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16535394 (or 16535344 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 20012995823760 in words is "twenty trillion, twelve billion, nine hundred ninety-five million, eight hundred twenty-three thousand, seven hundred sixty".