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2245431543552 = 28329071074509
BaseRepresentation
bin100000101011001110001…
…001100100011100000000
321221122211222121001222200
4200223032021210130000
5243242120433343202
64435311554433200
7321140613126561
oct40531611443400
97848758531880
102245431543552
1179631162809a
1230321a592800
13133987ccb6a2
147a972656168
153d61ebd4e1c
hex20ace264700

2245431543552 has 108 divisors (see below), whose sum is σ = 6481276696440. Its totient is φ = 747651262464.

The previous prime is 2245431543527. The next prime is 2245431543557. The reversal of 2245431543552 is 2553451345422.

2245431543552 is a `hidden beast` number, since 2 + 2 + 4 + 5 + 43 + 1 + 54 + 3 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2245431543498 and 2245431543507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245431543557) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1552474 + ... + 2626982.

Almost surely, 22245431543552 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 2245431543552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3240638348220).

2245431543552 is an abundant number, since it is smaller than the sum of its proper divisors (4235845152888).

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

2245431543552 is a wasteful number, since it uses less digits than its factorization.

2245431543552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075438 (or 1075421 counting only the distinct ones).

The product of its digits is 2880000, while the sum is 45.

Adding to 2245431543552 its reverse (2553451345422), we get a palindrome (4798882888974).

The spelling of 2245431543552 in words is "two trillion, two hundred forty-five billion, four hundred thirty-one million, five hundred forty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 907 1152 1814 2304 2721 3628 5442 7256 8163 10884 14512 16326 21768 29024 32652 43536 58048 65304 87072 116096 130608 174144 232192 261216 348288 522432 696576 1044864 1074509 2089728 2149018 3223527 4298036 6447054 8596072 9670581 12894108 17192144 19341162 25788216 34384288 38682324 51576432 68768576 77364648 103152864 137537152 154729296 206305728 275074304 309458592 412611456 618917184 825222912 974579663 1237834368 1949159326 2475668736 2923738989 3898318652 5847477978 7796637304 8771216967 11694955956 15593274608 17542433934 23389911912 31186549216 35084867868 46779823824 62373098432 70169735736 93559647648 124746196864 140339471472 187119295296 249492393728 280678942944 374238590592 561357885888 748477181184 1122715771776 2245431543552