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20219808726 = 232131012633253
BaseRepresentation
bin10010110101001100…
…011100101111010110
31221012011010201010200
4102311030130233112
5312402232334401
613142220401330
71314031352445
oct226514345726
957164121120
1020219808726
118636611627
123b036a6246
131ba30a9280
14d9b582d5c
157d51d9686
hex4b531cbd6

20219808726 has 96 divisors (see below), whose sum is σ = 47842546752. Its totient is φ = 6134572800.

The previous prime is 20219808709. The next prime is 20219808727. The reversal of 20219808726 is 62780891202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20219808727) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6214116 + ... + 6217368.

It is an arithmetic number, because the mean of its divisors is an integer number (498359862).

Almost surely, 220219808726 is an apocalyptic number.

20219808726 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20219808726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23921273376).

20219808726 is an abundant number, since it is smaller than the sum of its proper divisors (27622738026).

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

20219808726 is a wasteful number, since it uses less digits than its factorization.

20219808726 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3638 (or 3635 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 20219808726 in words is "twenty billion, two hundred nineteen million, eight hundred eight thousand, seven hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 101 117 202 234 263 303 526 606 789 909 1313 1578 1818 2367 2626 3253 3419 3939 4734 6506 6838 7878 9759 10257 11817 19518 20514 23634 26563 29277 30771 42289 53126 58554 61542 79689 84578 126867 159378 239067 253734 328553 345319 380601 478134 657106 690638 761202 855539 985659 1035957 1711078 1971318 2071914 2566617 2956977 3107871 4271189 5133234 5913954 6215742 7699851 8542378 11122007 12813567 15399702 22244014 25627134 33366021 38440701 66732042 76881402 86409439 100098063 172818878 200196126 259228317 518456634 777684951 1123322707 1555369902 2246645414 3369968121 6739936242 10109904363 20219808726