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20966470080 = 2635193113161
BaseRepresentation
bin10011100001101100…
…101111000111000000
32000010012010000221220
4103201230233013000
5320414404020310
613344252115040
71341366024633
oct234154570700
960105100856
1020966470080
11898a031326
124091765a80
131c919a521a
14102c7c5c1a
1582aa27670
hex4e1b2f1c0

20966470080 has 112 divisors (see below), whose sum is σ = 66914048544. Its totient is φ = 5562040320.

The previous prime is 20966470051. The next prime is 20966470093. The reversal of 20966470080 is 8007466902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128700 + ... + 241860.

It is an arithmetic number, because the mean of its divisors is an integer number (597446862).

Almost surely, 220966470080 is an apocalyptic number.

20966470080 is a gapful number since it is divisible by the number (20) 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 20966470080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33457024272).

20966470080 is an abundant number, since it is smaller than the sum of its proper divisors (45947578464).

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

20966470080 is a wasteful number, since it uses less digits than its factorization.

20966470080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113374 (or 113364 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 20966470080 in words is "twenty billion, nine hundred sixty-six million, four hundred seventy thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 193 240 320 386 480 579 772 960 965 1158 1544 1930 2316 2895 3088 3860 4632 5790 6176 7720 9264 11580 12352 15440 18528 23160 30880 37056 46320 61760 92640 113161 185280 226322 339483 452644 565805 678966 905288 1131610 1357932 1697415 1810576 2263220 2715864 3394830 3621152 4526440 5431728 6789660 7242304 9052880 10863456 13579320 18105760 21726912 21840073 27158640 36211520 43680146 54317280 65520219 87360292 108634560 109200365 131040438 174720584 218400730 262080876 327601095 349441168 436801460 524161752 655202190 698882336 873602920 1048323504 1310404380 1397764672 1747205840 2096647008 2620808760 3494411680 4193294016 5241617520 6988823360 10483235040 20966470080