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20061812736 = 211327612549
BaseRepresentation
bin10010101011110001…
…101111100000000000
31220210010211200101100
4102223301233200000
5312041311001421
613114414134400
71310102410650
oct225361574000
956703750340
1020061812736
118565408929
123a7a7b1400
131b7943aa14
14d845b6360
157c63cac26
hex4abc6f800

20061812736 has 288 divisors, whose sum is σ = 67331628000. Its totient is φ = 5635768320.

The previous prime is 20061812707. The next prime is 20061812773. The reversal of 20061812736 is 63721816002.

20061812736 is a `hidden beast` number, since 2 + 0 + 0 + 618 + 1 + 2 + 7 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20061812736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7869190 + ... + 7871738.

It is an arithmetic number, because the mean of its divisors is an integer number (233790375).

Almost surely, 220061812736 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 20061812736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33665814000).

20061812736 is an abundant number, since it is smaller than the sum of its proper divisors (47269815264).

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

20061812736 is a wasteful number, since it uses less digits than its factorization.

20061812736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2645 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 20061812736 in words is "twenty billion, sixty-one million, eight hundred twelve thousand, seven hundred thirty-six".