Search a number
-
+
84404640448 = 262357340109
BaseRepresentation
bin100111010011011101…
…0001001101011000000
322001212022012222210101
41032212322021223000
52340330041443243
6102435220212144
76045424414642
oct1164672115300
9261768188711
1084404640448
11328832456a7
1214436b3a054
137c6183103b
144129b40892
1522e002254d
hex13a6e89ac0

84404640448 has 28 divisors (see below), whose sum is σ = 174772655280. Its totient is φ = 40367436032.

The previous prime is 84404640427. The next prime is 84404640461.

84404640448 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 84404640398 and 84404640407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28668583 + ... + 28671526.

Almost surely, 284404640448 is an apocalyptic number.

It is an amenable number.

84404640448 is an abundant number, since it is smaller than the sum of its proper divisors (90368014832).

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

84404640448 is a wasteful number, since it uses less digits than its factorization.

84404640448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57340144 (or 57340134 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 46.

The spelling of 84404640448 in words is "eighty-four billion, four hundred four million, six hundred forty thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 736 1472 57340109 114680218 229360436 458720872 917441744 1318822507 1834883488 2637645014 3669766976 5275290028 10550580056 21101160112 42202320224 84404640448