Search a number
-
+
12453444024 = 23372312132657
BaseRepresentation
bin10111001100100100…
…00111100110111000
31012010220100111121120
423212102013212320
5201001040202044
65415424305240
7620415345660
oct134622074670
935126314546
1012453444024
11531070a8aa
1224b6772220
131236098cb8
14861d351a0
154cd48e519
hex2e64879b8

12453444024 has 128 divisors (see below), whose sum is σ = 37172874240. Its totient is φ = 3399340032.

The previous prime is 12453443983. The next prime is 12453444041. The reversal of 12453444024 is 42044435421.

12453444024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 1115952-1.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4685704 + ... + 4688360.

It is an arithmetic number, because the mean of its divisors is an integer number (290413080).

Almost surely, 212453444024 is an apocalyptic number.

12453444024 is a gapful number since it is divisible by the number (14) 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 12453444024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18586437120).

12453444024 is an abundant number, since it is smaller than the sum of its proper divisors (24719430216).

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

12453444024 is a wasteful number, since it uses less digits than its factorization.

12453444024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3909 (or 3905 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

Adding to 12453444024 its reverse (42044435421), we get a palindrome (54497879445).

The spelling of 12453444024 in words is "twelve billion, four hundred fifty-three million, four hundred forty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 966 1213 1288 1932 2426 2657 3639 3864 4852 5314 7278 7971 8491 9704 10628 14556 15942 16982 18599 21256 25473 27899 29112 31884 33964 37198 50946 55797 55798 61111 63768 67928 74396 83697 101892 111594 111596 122222 148792 167394 183333 195293 203784 223188 223192 244444 334788 366666 390586 427777 446376 488888 585879 669576 733332 781172 855554 1171758 1283331 1466664 1562344 1711108 2343516 2566662 3222941 3422216 4687032 5133324 6445882 9668823 10266648 12891764 19337646 22560587 25783528 38675292 45121174 67681761 74127643 77350584 90242348 135363522 148255286 180484696 222382929 270727044 296510572 444765858 518893501 541454088 593021144 889531716 1037787002 1556680503 1779063432 2075574004 3113361006 4151148008 6226722012 12453444024