Search a number
-
+
85000822128 = 24322920354603
BaseRepresentation
bin100111100101001110…
…0011001110101110000
322010101212001011022100
41033022130121311300
52343040202302003
6103014314340400
76066254031645
oct1171234316560
9263355034270
1085000822128
1133059825832
121458272a700
1380281c0971
144184db1dcc
152327538ba3
hex13ca719d70

85000822128 has 60 divisors (see below), whose sum is σ = 246087162360. Its totient is φ = 27356585088.

The previous prime is 85000822121. The next prime is 85000822163. The reversal of 85000822128 is 82122800058.

It is a happy number.

85000822128 is a `hidden beast` number, since 8 + 500 + 0 + 8 + 22 + 128 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 85000822092 and 85000822101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85000822121) 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 11 ways as a sum of consecutive naturals, for example, 10173126 + ... + 10181477.

It is an arithmetic number, because the mean of its divisors is an integer number (4101452706).

Almost surely, 285000822128 is an apocalyptic number.

It is an amenable number.

85000822128 is an abundant number, since it is smaller than the sum of its proper divisors (161086340232).

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

85000822128 is a wasteful number, since it uses less digits than its factorization.

85000822128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20354646 (or 20354637 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 85000822128 in words is "eighty-five billion, eight hundred twenty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 20354603 40709206 61063809 81418412 122127618 162836824 183191427 244255236 325673648 366382854 488510472 590283487 732765708 977020944 1180566974 1465531416 1770850461 2361133948 2931062832 3541700922 4722267896 5312551383 7083401844 9444535792 10625102766 14166803688 21250205532 28333607376 42500411064 85000822128