Search a number
-
+
25770069520 = 2451324778913
BaseRepresentation
bin11000000000000001…
…000000111000010000
32110111221221011121021
4120000001000320100
5410234114211040
615501050005224
71601414656006
oct300001007020
973457834537
1025770069520
11aa24594718
124bb2416814
132578c39c60
141366760a76
15a0c5d624a
hex600040e10

25770069520 has 40 divisors (see below), whose sum is σ = 64524292056. Its totient is φ = 9515102208.

The previous prime is 25770069511. The next prime is 25770069529. The reversal of 25770069520 is 2596007752.

It is an interprime number because it is at equal distance from previous prime (25770069511) and next prime (25770069529).

It can be written as a sum of positive squares in 4 ways, for example, as 267257104 + 25502812416 = 16348^2 + 159696^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (25770069529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12388417 + ... + 12390496.

Almost surely, 225770069520 is an apocalyptic number.

25770069520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25770069520 is an abundant number, since it is smaller than the sum of its proper divisors (38754222536).

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

25770069520 is a wasteful number, since it uses less digits than its factorization.

25770069520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24778939 (or 24778933 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 43.

The spelling of 25770069520 in words is "twenty-five billion, seven hundred seventy million, sixty-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 24778913 49557826 99115652 123894565 198231304 247789130 322125869 396462608 495578260 644251738 991156520 1288503476 1610629345 1982313040 2577006952 3221258690 5154013904 6442517380 12885034760 25770069520