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2456139712 = 261311712521
BaseRepresentation
bin1001001001100101…
…1011011111000000
320100011122211021111
42102121123133000
520012232432322
61043415333104
7114602562115
oct22231333700
96304584244
102456139712
111050477134
12586681194
13301b13810
141942b490c
15e5965177
hex9265b7c0

2456139712 has 56 divisors (see below), whose sum is σ = 5255383952. Its totient is φ = 1132185600.

The previous prime is 2456139701. The next prime is 2456139713. The reversal of 2456139712 is 2179316542.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2456139713) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 973012 + ... + 975532.

It is an arithmetic number, because the mean of its divisors is an integer number (93846142).

Almost surely, 22456139712 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 2456139712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2627691976).

2456139712 is an abundant number, since it is smaller than the sum of its proper divisors (2799244240).

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

2456139712 is a wasteful number, since it uses less digits than its factorization.

2456139712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3717 (or 3707 counting only the distinct ones).

The product of its digits is 90720, while the sum is 40.

The square root of 2456139712 is about 49559.4563327727. The cubic root of 2456139712 is about 1349.2249253710.

The spelling of 2456139712 in words is "two billion, four hundred fifty-six million, one hundred thirty-nine thousand, seven hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 1171 2342 2521 4684 5042 9368 10084 15223 18736 20168 30446 32773 37472 40336 60892 65546 74944 80672 121784 131092 161344 243568 262184 487136 524368 974272 1048736 2097472 2952091 5904182 11808364 23616728 38377183 47233456 76754366 94466912 153508732 188933824 307017464 614034928 1228069856 2456139712