Search a number
-
+
25210245360 = 2435105042689
BaseRepresentation
bin10111011110101001…
…011101000011110000
32102001221112011020010
4113132221131003300
5403112310322420
615325331014520
71551506356416
oct273651350360
972057464203
1025210245360
11a767587523
124a76a3a440
1324b9c69c61
1413122752b6
159c83a24e0
hex5dea5d0f0

25210245360 has 40 divisors (see below), whose sum is σ = 78151761360. Its totient is φ = 6722732032.

The previous prime is 25210245343. The next prime is 25210245367. The reversal of 25210245360 is 6354201252.

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

It is a super-2 number, since 2×252102453602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25210245367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52521105 + ... + 52521584.

It is an arithmetic number, because the mean of its divisors is an integer number (1953794034).

Almost surely, 225210245360 is an apocalyptic number.

25210245360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25210245360 is an abundant number, since it is smaller than the sum of its proper divisors (52941516000).

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

25210245360 is a wasteful number, since it uses less digits than its factorization.

25210245360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105042705 (or 105042699 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 25210245360 in words is "twenty-five billion, two hundred ten million, two hundred forty-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 105042689 210085378 315128067 420170756 525213445 630256134 840341512 1050426890 1260512268 1575640335 1680683024 2100853780 2521024536 3151280670 4201707560 5042049072 6302561340 8403415120 12605122680 25210245360