Search a number
-
+
1010648248048 = 241723161548633
BaseRepresentation
bin11101011010011110101…
…01000110111011110000
310120121122210222110202101
432231033111012323300
5113024301422414143
62052141351230144
7133005543236665
oct16551725067360
93517583873671
101010648248048
1135a68265229a
12143a54078354
13743c437572a
1436cb6711a6c
151b4514c2b4d
hexeb4f546ef0

1010648248048 has 40 divisors (see below), whose sum is σ = 2163459306528. Its totient is φ = 454920947712.

The previous prime is 1010648248033. The next prime is 1010648248073. The reversal of 1010648248048 is 8408428460101.

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 = 1010648247989 and 1010648248007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80768061 + ... + 80780572.

Almost surely, 21010648248048 is an apocalyptic number.

It is an amenable number.

1010648248048 is an abundant number, since it is smaller than the sum of its proper divisors (1152811058480).

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

1010648248048 is a wasteful number, since it uses less digits than its factorization.

1010648248048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161548681 (or 161548675 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 46.

The spelling of 1010648248048 in words is "one trillion, ten billion, six hundred forty-eight million, two hundred forty-eight thousand, forty-eight".

Divisors: 1 2 4 8 16 17 23 34 46 68 92 136 184 272 368 391 782 1564 3128 6256 161548633 323097266 646194532 1292389064 2584778128 2746326761 3715618559 5492653522 7431237118 10985307044 14862474236 21970614088 29724948472 43941228176 59449896944 63165515503 126331031006 252662062012 505324124024 1010648248048