Search a number
-
+
20380576554448 = 2411618572215099
BaseRepresentation
bin1001010001001001110010…
…00001101001110111010000
32200011100211102101121102021
410220210321001221313100
510132403410044220243
6111202412502301224
74202306454245515
oct450447101516720
980140742347367
1020380576554448
1165483991652a0
122351a85a27814
13b4ab59824516
145065d493b30c
1525522b44e6ed
hex128939069dd0

20380576554448 has 80 divisors (see below), whose sum is σ = 43834418971200. Its totient is φ = 9101394662400.

The previous prime is 20380576554413. The next prime is 20380576554449. The reversal of 20380576554448 is 84445567508302.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20380576554449) 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 15 ways as a sum of consecutive naturals, for example, 8093203 + ... + 10308301.

It is an arithmetic number, because the mean of its divisors is an integer number (547930237140).

Almost surely, 220380576554448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20380576554448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21917209485600).

20380576554448 is an abundant number, since it is smaller than the sum of its proper divisors (23453842416752).

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

20380576554448 is a wasteful number, since it uses less digits than its factorization.

20380576554448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216036 (or 2216030 counting only the distinct ones).

The product of its (nonzero) digits is 129024000, while the sum is 61.

The spelling of 20380576554448 in words is "twenty trillion, three hundred eighty billion, five hundred seventy-six million, five hundred fifty-four thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 44 61 88 122 176 244 488 671 857 976 1342 1714 2684 3428 5368 6856 9427 10736 13712 18854 37708 52277 75416 104554 150832 209108 418216 575047 836432 1150094 2215099 2300188 4430198 4600376 8860396 9200752 17720792 24366089 35441584 48732178 97464356 135121039 194928712 270242078 389857424 540484156 1080968312 1486331429 1898339843 2161936624 2972662858 3796679686 5945325716 7593359372 11890651432 15186718744 20881738273 23781302864 30373437488 41763476546 83526953092 115798730423 167053906184 231597460846 334107812368 463194921692 926389843384 1273786034653 1852779686768 2547572069306 5095144138612 10190288277224 20380576554448