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20469703630464 = 27321121923336041
BaseRepresentation
bin1001010011101111110010…
…11010011101111010000000
32200110212212211201011221200
410221313321122131322000
510140333423112133324
6111311352501021200
74211613224013264
oct451677132357200
980425784634850
1020469703630464
116582175067700
1223671ba3b4800
13b5639184021a
1450aa4b92a0a4
152576e5d4bec9
hex129df969de80

20469703630464 has 576 divisors, whose sum is σ = 71116434043200. Its totient is φ = 5620954521600.

The previous prime is 20469703630421. The next prime is 20469703630513. The reversal of 20469703630464 is 46403630796402.

20469703630464 is a `hidden beast` number, since 20 + 4 + 69 + 70 + 3 + 6 + 30 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 20469703630464.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60746284 + ... + 61082324.

It is an arithmetic number, because the mean of its divisors is an integer number (123466031325).

Almost surely, 220469703630464 is an apocalyptic number.

20469703630464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20469703630464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35558217021600).

20469703630464 is an abundant number, since it is smaller than the sum of its proper divisors (50646730412736).

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

20469703630464 is a wasteful number, since it uses less digits than its factorization.

20469703630464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336125 (or 336099 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 54.

The spelling of 20469703630464 in words is "twenty trillion, four hundred sixty-nine billion, seven hundred three million, six hundred thirty thousand, four hundred sixty-four".