Search a number
-
+
982252492832 = 25132134772
BaseRepresentation
bin11100100101100101100…
…11111001100000100000
310110220100212100122111202
432102302303321200200
5112043123114232312
62031123543500332
7130652063300432
oct16226263714040
93426325318452
10982252492832
11349630a1a0a6
1213a44a4576a8
137181a471500
1435781384652
151a83d6359c2
hexe4b2cf9820

982252492832 has 54 divisors (see below), whose sum is σ = 2094162227703. Its totient is φ = 453313665792.

The previous prime is 982252492831. The next prime is 982252492849. The reversal of 982252492832 is 238294252289.

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 can be written as a sum of positive squares in 5 ways, for example, as 300168111376 + 682084381456 = 547876^2 + 825884^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=700804.

It is a super-2 number, since 2×9822524928322 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (982252492831) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 72876878 + ... + 72890354.

Almost surely, 2982252492832 is an apocalyptic number.

It is an amenable number.

982252492832 is an abundant number, since it is smaller than the sum of its proper divisors (1111909734871).

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

982252492832 is an frugal number, since it uses more digits than its factorization.

982252492832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26990 (or 13492 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 56.

The spelling of 982252492832 in words is "nine hundred eighty-two billion, two hundred fifty-two million, four hundred ninety-two thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1352 2704 5408 13477 26954 53908 107816 175201 215632 350402 431264 700804 1401608 2277613 2803216 4555226 5606432 9110452 18220904 36441808 72883616 181629529 363259058 726518116 1453036232 2361183877 2906072464 4722367754 5812144928 9444735508 18889471016 30695390401 37778942032 61390780802 75557884064 122781561604 245563123208 491126246416 982252492832