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20468715023232 = 273472131132347
BaseRepresentation
bin1001010011101101111100…
…11111001110101110000000
32200110210022221110201210000
410221312332133032232000
510140324412021220412
6111311110423440000
74211546561002410
oct451667637165600
980423287421700
1020468715023232
116581808015433
122366b832b6000
13b56264a91828
1450a996506640
1525768916b4dc
hex129dbe7ceb80

20468715023232 has 320 divisors, whose sum is σ = 69649839642240. Its totient is φ = 5845415777280.

The previous prime is 20468715023219. The next prime is 20468715023279. The reversal of 20468715023232 is 23232051786402.

20468715023232 is a `hidden beast` number, since 2 + 0 + 4 + 6 + 87 + 1 + 502 + 32 + 32 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 154593283 + ... + 154725629.

It is an arithmetic number, because the mean of its divisors is an integer number (217655748882).

Almost surely, 220468715023232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20468715023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34824919821120).

20468715023232 is an abundant number, since it is smaller than the sum of its proper divisors (49181124619008).

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

20468715023232 is a wasteful number, since it uses less digits than its factorization.

20468715023232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134511 (or 134490 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 20468715023232 in words is "twenty trillion, four hundred sixty-eight billion, seven hundred fifteen million, twenty-three thousand, two hundred thirty-two".