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20706464699712 = 26321129675413109
BaseRepresentation
bin1001011010101000110010…
…11110010001010101000000
32201022112000010102200020100
410231110121132101111000
510203223314430342322
6112012230224242400
74234664332625301
oct455243136212500
981275003380210
1020706464699712
116663620563270
1223a5075170400
13b727c3b9217c
145182abd787a8
1525d951769dac
hex12d519791540

20706464699712 has 672 divisors, whose sum is σ = 68126827017600. Its totient is φ = 5954947891200.

The previous prime is 20706464699587. The next prime is 20706464699729. The reversal of 20706464699712 is 21799646460702.

It is a happy number.

20706464699712 is a `hidden beast` number, since 2 + 0 + 70 + 6 + 4 + 6 + 469 + 97 + 12 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20706464699712.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6660167214 + ... + 6660170322.

Almost surely, 220706464699712 is an apocalyptic number.

20706464699712 is a gapful number since it is divisible by the number (22) 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 20706464699712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34063413508800).

20706464699712 is an abundant number, since it is smaller than the sum of its proper divisors (47420362317888).

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

20706464699712 is a wasteful number, since it uses less digits than its factorization.

20706464699712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3775 (or 3762 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 20706464699712 in words is "twenty trillion, seven hundred six billion, four hundred sixty-four million, six hundred ninety-nine thousand, seven hundred twelve".