Search a number
-
+
8090184705625 = 54112103432
BaseRepresentation
bin111010110111010010010…
…0101011110011001011001
31001122102011212211010110201
41311232210211132121121
52030022144241040000
625112325103142201
71463332214240161
oct165564445363131
931572155733421
108090184705625
11263a0343a0400
12aa7b225a4961
13468b93a770b9
141dd7d1cdb5a1
15e069e62996a
hex75ba495e659

8090184705625 has 45 divisors (see below), whose sum is σ = 11113163796889. Its totient is φ = 5883201830000.

The previous prime is 8090184705601. The next prime is 8090184705649. The reversal of 8090184705625 is 5265074810908.

It is a happy number.

The square root of 8090184705625 is 2844325.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (8090184705601) and next prime (8090184705649).

It can be written as a sum of positive squares in 2 ways, for example, as 634270480921 + 7455914224704 = 796411^2 + 2730552^2 .

It is not a de Polignac number, because 8090184705625 - 27 = 8090184705497 is a prime.

It is a super-2 number, since 2×80901847056252 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 782184204 + ... + 782194546.

Almost surely, 28090184705625 is an apocalyptic number.

8090184705625 is the 2844325-th square number.

8090184705625 is the 1422163-rd centered octagonal number.

It is an amenable number.

8090184705625 is a deficient number, since it is larger than the sum of its proper divisors (3022979091264).

8090184705625 is an frugal number, since it uses more digits than its factorization.

8090184705625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20728 (or 10359 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 55.

The spelling of 8090184705625 in words is "eight trillion, ninety billion, one hundred eighty-four million, seven hundred five thousand, six hundred twenty-five".

Divisors: 1 5 11 25 55 121 125 275 605 625 1375 3025 6875 10343 15125 51715 75625 113773 258575 568865 1251503 1292875 2844325 6257515 6464375 14221625 31287575 71108125 106977649 156437875 534888245 782189375 1176754139 2674441225 5883770695 12944295529 13372206125 29418853475 64721477645 66861030625 147094267375 323607388225 735471336875 1618036941125 8090184705625