Search a number
-
+
7011468048 = 2431311236327
BaseRepresentation
bin1101000011110101…
…01000001100010000
3200002122022110222210
412201322220030100
5103324413434143
63115424032120
7335515331544
oct64172501420
920078273883
107011468048
112a788777a2
121438162640
138797bca80
144a72a3a24
152b0832033
hex1a1ea8310

7011468048 has 40 divisors (see below), whose sum is σ = 19506265408. Its totient is φ = 2157374592.

The previous prime is 7011468047. The next prime is 7011468109. The reversal of 7011468048 is 8408641107.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 7011467997 and 7011468015.

It is not an unprimeable number, because it can be changed into a prime (7011468047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5617540 + ... + 5618787.

Almost surely, 27011468048 is an apocalyptic number.

7011468048 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

7011468048 is an abundant number, since it is smaller than the sum of its proper divisors (12494797360).

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

7011468048 is a wasteful number, since it uses less digits than its factorization.

7011468048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11236351 (or 11236345 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 7011468048 is about 83734.5093017210. The cubic root of 7011468048 is about 1913.9752597941.

The spelling of 7011468048 in words is "seven billion, eleven million, four hundred sixty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 11236327 22472654 33708981 44945308 67417962 89890616 134835924 146072251 179781232 269671848 292144502 438216753 539343696 584289004 876433506 1168578008 1752867012 2337156016 3505734024 7011468048