Search a number
-
+
12451989792 = 25311116310139
BaseRepresentation
bin10111001100011001…
…00100100100100000
31012010210121121210010
423212030210210200
5201000202133132
65415333204520
7620400111144
oct134614444440
935123547703
1012451989792
11530a907260
1224b6190740
1312359aa0c8
14861a77224
154cd2a36cc
hex2e6324920

12451989792 has 96 divisors (see below), whose sum is σ = 35692151040. Its totient is φ = 3769713920.

The previous prime is 12451989773. The next prime is 12451989799. The reversal of 12451989792 is 29798915421.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (12451989799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1223059 + ... + 1233197.

It is an arithmetic number, because the mean of its divisors is an integer number (371793240).

Almost surely, 212451989792 is an apocalyptic number.

12451989792 is a gapful number since it is divisible by the number (12) 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 12451989792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17846075520).

12451989792 is an abundant number, since it is smaller than the sum of its proper divisors (23240161248).

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

12451989792 is a wasteful number, since it uses less digits than its factorization.

12451989792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11326 (or 11318 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 57.

The spelling of 12451989792 in words is "twelve billion, four hundred fifty-one million, nine hundred eighty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1163 2326 3489 4652 6978 9304 10139 12793 13956 18608 20278 25586 27912 30417 37216 38379 40556 51172 55824 60834 76758 81112 102344 111529 111648 121668 153516 162224 204688 223058 243336 307032 324448 334587 409376 446116 486672 614064 669174 892232 973344 1228128 1338348 1784464 2676696 3568928 5353392 10706784 11791657 23583314 35374971 47166628 70749942 94333256 129708227 141499884 188666512 259416454 282999768 377333024 389124681 518832908 565999536 778249362 1037665816 1131999072 1556498724 2075331632 3112997448 4150663264 6225994896 12451989792