Search a number
-
+
25627798064 = 2411310972
BaseRepresentation
bin10111110111100010…
…010010101000110000
32110011001020000212002
4113313202102220300
5404441204014224
615435004353132
71565036455301
oct276742225060
973131200762
1025627798064
11a961251000
124b728457a8
132555615a6b
1413518c87a8
159eed819ae
hex5f7892a30

25627798064 has 60 divisors (see below), whose sum is σ = 54665345688. Its totient is φ = 11638380160.

The previous prime is 25627798039. The next prime is 25627798069. The reversal of 25627798064 is 46089772652.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not an unprimeable number, because it can be changed into a prime (25627798069) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 23361164 + ... + 23362260.

Almost surely, 225627798064 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 25627798064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27332672844).

25627798064 is an abundant number, since it is smaller than the sum of its proper divisors (29037547624).

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

25627798064 is an frugal number, since it uses more digits than its factorization.

25627798064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 56.

The spelling of 25627798064 in words is "twenty-five billion, six hundred twenty-seven million, seven hundred ninety-eight thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1097 1331 1936 2194 2662 4388 5324 8776 10648 12067 17552 21296 24134 48268 96536 132737 193072 265474 530948 1061896 1203409 1460107 2123792 2406818 2920214 4813636 5840428 9627272 11680856 13237499 19254544 23361712 26474998 52949996 105899992 145612489 211799984 291224978 582449956 1164899912 1601737379 2329799824 3203474758 6406949516 12813899032 25627798064