Search a number
-
+
7019375040 = 263254356681
BaseRepresentation
bin1101000100110001…
…10010100111000000
3200010012012012100100
412202120302213000
5103333430000130
63120305322400
7335642463156
oct64230624700
920105165310
107019375040
112a822883a7
12143a936400
1387b32aa72
144a83613d6
152b1394c60
hex1a26329c0

7019375040 has 168 divisors, whose sum is σ = 24705643248. Its totient is φ = 1828270080.

The previous prime is 7019375017. The next prime is 7019375059. The reversal of 7019375040 is 405739107.

It is a happy number.

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 = 7019374986 and 7019375004.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 95500 + ... + 152180.

Almost surely, 27019375040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7019375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12352821624).

7019375040 is an abundant number, since it is smaller than the sum of its proper divisors (17686268208).

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

7019375040 is a wasteful number, since it uses less digits than its factorization.

7019375040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56747 (or 56734 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 7019375040 is about 83781.7106533401. The cubic root of 7019375040 is about 1914.6944673181.

The spelling of 7019375040 in words is "seven billion, nineteen million, three hundred seventy-five thousand, forty".