Search a number
-
+
20446385845824 = 26321884072
BaseRepresentation
bin1001010011000100010111…
…00100001011011001000000
32200101122200210011222210100
410221202023210023121000
510134443144234031244
6111252535012002400
74210126334063001
oct451421344133100
980348623158710
1020446385845824
116573299856a04
122362791300400
13b54116997313
14509878b591a8
15256ccdbb8b69
hex12988b90b640

20446385845824 has 63 divisors (see below), whose sum is σ = 58606184380107. Its totient is φ = 6815425774464.

The previous prime is 20446385845759. The next prime is 20446385845829. The reversal of 20446385845824 is 42854858364402.

The square root of 20446385845824 is 4521768.

It is a perfect power (a square), and thus also a powerful number.

20446385845824 is a `hidden beast` number, since 2 + 0 + 4 + 46 + 3 + 8 + 5 + 8 + 4 + 582 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (20446385845829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 108428229 + ... + 108616635.

Almost surely, 220446385845824 is an apocalyptic number.

20446385845824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

20446385845824 is the 4521768-th square number.

It is an amenable number.

20446385845824 is an abundant number, since it is smaller than the sum of its proper divisors (38159798534283).

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

20446385845824 is an frugal number, since it uses more digits than its factorization.

20446385845824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376832 (or 188412 counting only the distinct ones).

The product of its (nonzero) digits is 235929600, while the sum is 63.

The spelling of 20446385845824 in words is "twenty trillion, four hundred forty-six billion, three hundred eighty-five million, eight hundred forty-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 188407 376814 565221 753628 1130442 1507256 1695663 2260884 3014512 3391326 4521768 6029024 6782652 9043536 12058048 13565304 18087072 27130608 36174144 54261216 108522432 35497197649 70994395298 106491592947 141988790596 212983185894 283977581192 319474778841 425966371788 567955162384 638949557682 851932743576 1135910324768 1277899115364 1703865487152 2271820649536 2555798230728 3407730974304 5111596461456 6815461948608 10223192922912 20446385845824