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20612994048 = 2103653521
BaseRepresentation
bin10011001100101000…
…010101010000000000
31222012112222121000000
4103030220111100000
5314203411302143
613245224000000
71326544362363
oct231450252000
958175877000
1020612994048
118818552579
123bb3300000
131c366a2aca
14dd78920da
158099a3bd3
hex4cca15400

20612994048 has 308 divisors, whose sum is σ = 63067013748. Its totient is φ = 6728417280.

The previous prime is 20612994041. The next prime is 20612994053. The reversal of 20612994048 is 84049921602.

20612994048 is a `hidden beast` number, since 20 + 612 + 9 + 9 + 4 + 0 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10394210304 + 10218783744 = 101952^2 + 101088^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20612993994 and 20612994012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20612994041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 39564028 + ... + 39564548.

Almost surely, 220612994048 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 20612994048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31533506874).

20612994048 is an abundant number, since it is smaller than the sum of its proper divisors (42454019700).

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

20612994048 is an frugal number, since it uses more digits than its factorization.

20612994048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 20612994048 in words is "twenty billion, six hundred twelve million, nine hundred ninety-four thousand, forty-eight".