Search a number
-
+
20441230704 = 2432833315167
BaseRepresentation
bin10011000010011001…
…000110110101110000
31221202120210002222200
4103002121012311300
5313330423340304
613220210303200
71322360410536
oct230231066560
957676702880
1020441230704
11873a5a61a4
123b65887b00
131c09c23cab
14dbcb40156
157e9875e39
hex4c2646d70

20441230704 has 120 divisors (see below), whose sum is σ = 58082449152. Its totient is φ = 6710014080.

The previous prime is 20441230669. The next prime is 20441230721. The reversal of 20441230704 is 40703214402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3953529 + ... + 3958695.

Almost surely, 220441230704 is an apocalyptic number.

20441230704 is a gapful number since it is divisible by the number (24) 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 20441230704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29041224576).

20441230704 is an abundant number, since it is smaller than the sum of its proper divisors (37641218448).

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

20441230704 is a wasteful number, since it uses less digits than its factorization.

20441230704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5595 (or 5586 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The spelling of 20441230704 in words is "twenty billion, four hundred forty-one million, two hundred thirty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 83 144 166 249 331 332 498 662 664 747 993 996 1324 1328 1494 1986 1992 2648 2979 2988 3972 3984 5167 5296 5958 5976 7944 10334 11916 11952 15501 15888 20668 23832 27473 31002 41336 46503 47664 54946 62004 82419 82672 93006 109892 124008 164838 186012 219784 247257 248016 329676 372024 428861 439568 494514 659352 744048 857722 989028 1286583 1318704 1710277 1715444 1978056 2573166 3420554 3430888 3859749 3956112 5130831 5146332 6841108 6861776 7719498 10261662 10292664 13682216 15392493 15438996 20523324 20585328 27364432 30784986 30877992 41046648 61569972 61755984 82093296 123139944 141952991 246279888 283905982 425858973 567811964 851717946 1135623928 1277576919 1703435892 2271247856 2555153838 3406871784 5110307676 6813743568 10220615352 20441230704