Search a number
-
+
25800022000852 = 22114728794333391
BaseRepresentation
bin1011101110111000010010…
…01001011000010011010100
310101100110100220010010112221
411313130021021120103110
511340201421113011402
6130512211054352124
75301663411420361
oct567341111302324
9111313326103487
1025800022000852
1182478008a5910
122a882731bb644
131151c15a58708
14652a28c55468
152eb1b7793337
hex1777092584d4

25800022000852 has 48 divisors (see below), whose sum is σ = 50320041246720. Its totient is φ = 11473776706400.

The previous prime is 25800022000807. The next prime is 25800022000853.

25800022000852 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×258000220008522 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25800022000853) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3787077 + ... + 8120467.

It is an arithmetic number, because the mean of its divisors is an integer number (1048334192640).

Almost surely, 225800022000852 is an apocalyptic number.

25800022000852 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

25800022000852 is a deficient number, since it is larger than the sum of its proper divisors (24520019245868).

25800022000852 is a wasteful number, since it uses less digits than its factorization.

25800022000852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4336332 (or 4336330 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 34.

It can be divided in two parts, 2580002 and 2000852, that added together give a palindrome (4580854).

The spelling of 25800022000852 in words is "twenty-five trillion, eight hundred billion, twenty-two million, eight hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 4 11 22 44 47 94 188 517 1034 2068 2879 5758 11516 31669 63338 126676 135313 270626 541252 1488443 2976886 4333391 5953772 8666782 17333564 47667301 95334602 190669204 203669377 407338754 814677508 2240363147 4480726294 8961452588 12475832689 24951665378 49903330756 137234159579 274468319158 548936638316 586364136383 1172728272766 2345456545532 6450005500213 12900011000426 25800022000852