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20706981654528 = 2123313172194361
BaseRepresentation
bin1001011010101001110000…
…10010010011000000000000
32201022120100011011200221000
410231110320102103000000
510203230344300421103
6112012353412332000
74235013210646221
oct455247022230000
981276304150830
1020706981654528
116663866350054
1223a519a314000
13b728770025b0
1451831a8a5248
1525d981d31aa3
hex12d538493000

20706981654528 has 2496 divisors, whose sum is σ = 76831213043200. Its totient is φ = 5457900994560.

The previous prime is 20706981654481. The next prime is 20706981654529. The reversal of 20706981654528 is 82545618960702.

20706981654528 is a `hidden beast` number, since 2 + 0 + 7 + 0 + 6 + 9 + 81 + 6 + 545 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20706981654529) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 339458715618 + ... + 339458715678.

Almost surely, 220706981654528 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 20706981654528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38415606521600).

20706981654528 is an abundant number, since it is smaller than the sum of its proper divisors (56124231388672).

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

20706981654528 is a wasteful number, since it uses less digits than its factorization.

20706981654528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 20706981654528 in words is "twenty trillion, seven hundred six billion, nine hundred eighty-one million, six hundred fifty-four thousand, five hundred twenty-eight".