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20926611305352 = 233431211223399
BaseRepresentation
bin1001100001000010110110…
…01110111011001110001000
32202002120020112002222010000
410300201123032323032020
510220330144443232402
6112301315202123000
74256616636121014
oct460413316731610
982076215088100
1020926611305352
116738a20587475
12241b873950460
13b8a4a9069b6c
14524bd39c5544
15264538768c1c
hex13085b3bb388

20926611305352 has 240 divisors, whose sum is σ = 60795367776000. Its totient is φ = 6718239662400.

The previous prime is 20926611305333. The next prime is 20926611305359. The reversal of 20926611305352 is 25350311662902.

20926611305352 is a `hidden beast` number, since 2 + 0 + 9 + 26 + 61 + 1 + 30 + 535 + 2 = 666.

It is a super-2 number, since 2×209266113053522 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20926611305298 and 20926611305307.

It is not an unprimeable number, because it can be changed into a prime (20926611305359) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 894326149 + ... + 894349547.

It is an arithmetic number, because the mean of its divisors is an integer number (253314032400).

Almost surely, 220926611305352 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 20926611305352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30397683888000).

20926611305352 is an abundant number, since it is smaller than the sum of its proper divisors (39868756470648).

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

20926611305352 is a wasteful number, since it uses less digits than its factorization.

20926611305352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23870 (or 23646 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 20926611305352 in words is "twenty trillion, nine hundred twenty-six billion, six hundred eleven million, three hundred five thousand, three hundred fifty-two".