Search a number
-
+
7000812000 = 2532537132137
BaseRepresentation
bin1101000010100011…
…11110100111100000
3200001220021002122100
412201101332213200
5103314201441000
63114403410400
7335325630420
oct64121764740
920056232570
107000812000
112a72859746
121434683a00
1387752b710
144a5acc480
152ae929a00
hex1a147e9e0

7000812000 has 576 divisors, whose sum is σ = 30593856384. Its totient is φ = 1476403200.

The previous prime is 7000811999. The next prime is 7000812011. The reversal of 7000812000 is 2180007.

It is a super-2 number, since 2×70008120002 = 98022737318688000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3274932 + ... + 3277068.

It is an arithmetic number, because the mean of its divisors is an integer number (53114334).

Almost surely, 27000812000 is an apocalyptic number.

7000812000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7000812000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15296928192).

7000812000 is an abundant number, since it is smaller than the sum of its proper divisors (23593044384).

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

7000812000 is a wasteful number, since it uses less digits than its factorization.

7000812000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2188 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 7000812000 is about 83670.8551408434. The cubic root of 7000812000 is about 1913.0051465849.

Adding to 7000812000 its reverse (2180007), we get a palindrome (7002992007).

The spelling of 7000812000 in words is "seven billion, eight hundred twelve thousand".