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7012535040 = 283357241101
BaseRepresentation
bin1101000011111101…
…01100101100000000
3200002201022200122000
412201332230230000
5103330202110130
63115502544000
7335530364400
oct64176545400
920081280560
107012535040
112a79436405
121438598000
13879aa4624
144a74a0800
152b0993260
hex1a1facb00

7012535040 has 864 divisors, whose sum is σ = 29947216320. Its totient is φ = 1548288000.

The previous prime is 7012535027. The next prime is 7012535059. The reversal of 7012535040 is 405352107.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 7012534995 and 7012535013.

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, 69430990 + ... + 69431090.

It is an arithmetic number, because the mean of its divisors is an integer number (34661130).

Almost surely, 27012535040 is an apocalyptic number.

7012535040 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 7012535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14973608160).

7012535040 is an abundant number, since it is smaller than the sum of its proper divisors (22934681280).

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

7012535040 is a wasteful number, since it uses less digits than its factorization.

7012535040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 7012535040 is about 83740.8803392943. The cubic root of 7012535040 is about 1914.0723432528.

Adding to 7012535040 its reverse (405352107), we get a palindrome (7417887147).

The spelling of 7012535040 in words is "seven billion, twelve million, five hundred thirty-five thousand, forty".