Search a number
-
+
2451135104 = 27112277669
BaseRepresentation
bin1001001000011001…
…0101101010000000
320022211020120020122
42102012111222000
520004442310404
61043120155412
7114512206325
oct22206255200
96284216218
102451135104
1110486690a0
12584a68b68
13300a80902
14193770b4c
15e52c73be
hex92195a80

2451135104 has 64 divisors (see below), whose sum is σ = 5351205600. Its totient is φ = 1109099520.

The previous prime is 2451135097. The next prime is 2451135107. The reversal of 2451135104 is 4015311542.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×24511351042 = 12016126596122181632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2451135107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 315782 + ... + 323450.

Almost surely, 22451135104 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 2451135104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675602800).

2451135104 is an abundant number, since it is smaller than the sum of its proper divisors (2900070496).

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

2451135104 is a wasteful number, since it uses less digits than its factorization.

2451135104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7921 (or 7909 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 2451135104 is about 49508.9396372009. The cubic root of 2451135104 is about 1348.3079127663.

Adding to 2451135104 its reverse (4015311542), we get a palindrome (6466446646).

The spelling of 2451135104 in words is "two billion, four hundred fifty-one million, one hundred thirty-five thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 227 352 454 704 908 1408 1816 2497 3632 4994 7264 7669 9988 14528 15338 19976 29056 30676 39952 61352 79904 84359 122704 159808 168718 245408 319616 337436 490816 674872 981632 1349744 1740863 2699488 3481726 5398976 6963452 10797952 13926904 19149493 27853808 38298986 55707616 76597972 111415232 153195944 222830464 306391888 612783776 1225567552 2451135104