Search a number
-
+
2563440443652 = 22311210117479751
BaseRepresentation
bin100101010011011000111…
…101010000000100000100
3100002001200120110000101210
4211103120331100010010
5313444411223144102
65241343413051420
7353126305153164
oct45233075200404
910061616400353
102563440443652
118a9170335600
1235498b026b70
13157967b558aa
148c0dd4605a4
1546a3340936c
hex254d8f50104

2563440443652 has 72 divisors (see below), whose sum is σ = 6639648837696. Its totient is φ = 769109000000.

The previous prime is 2563440443623. The next prime is 2563440443671.

2563440443652 is nontrivially palindromic in base 10.

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, 8593224 + ... + 8886527.

It is an arithmetic number, because the mean of its divisors is an integer number (92217344968).

Almost surely, 22563440443652 is an apocalyptic number.

2563440443652 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2563440443652 is an abundant number, since it is smaller than the sum of its proper divisors (4076208394044).

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

2563440443652 is a wasteful number, since it uses less digits than its factorization.

2563440443652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17479881 (or 17479868 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 48.

The spelling of 2563440443652 in words is "two trillion, five hundred sixty-three billion, four hundred forty million, four hundred forty-three thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 121 132 202 242 303 363 404 484 606 726 1111 1212 1452 2222 3333 4444 6666 12221 13332 24442 36663 48884 73326 146652 17479751 34959502 52439253 69919004 104878506 192277261 209757012 384554522 576831783 769109044 1153663566 1765454851 2115049871 2307327132 3530909702 4230099742 5296364553 6345149613 7061819404 8460199484 10592729106 12690299226 19420003361 21185458212 25380598452 38840006722 58260010083 77680013444 116520020166 213620036971 233040040332 427240073942 640860110913 854480147884 1281720221826 2563440443652