Search a number
-
+
20333826980 = 22519419127709
BaseRepresentation
bin10010111011111111…
…011001001110100100
31221111002200102202222
4102323333121032210
5313120424430410
613201412251512
71316614451255
oct227377311644
957432612688
1020333826980
118694a08195
123b35910b98
131bc08ba5ac
14dac782b2c
157e020c955
hex4bbfd93a4

20333826980 has 48 divisors (see below), whose sum is σ = 45056088000. Its totient is φ = 7686999936.

The previous prime is 20333826949. The next prime is 20333826983. The reversal of 20333826980 is 8962833302.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20333826983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95366 + ... + 223074.

It is an arithmetic number, because the mean of its divisors is an integer number (938668500).

Almost surely, 220333826980 is an apocalyptic number.

20333826980 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 20333826980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22528044000).

20333826980 is an abundant number, since it is smaller than the sum of its proper divisors (24722261020).

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

20333826980 is a wasteful number, since it uses less digits than its factorization.

20333826980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128156 (or 128154 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 44.

The spelling of 20333826980 in words is "twenty billion, three hundred thirty-three million, eight hundred twenty-six thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 419 838 1676 2095 4190 7961 8380 15922 31844 39805 79610 127709 159220 255418 510836 638545 1277090 2426471 2554180 4852942 9705884 12132355 24264710 48529420 53510071 107020142 214040284 267550355 535100710 1016691349 1070201420 2033382698 4066765396 5083456745 10166913490 20333826980