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7126798140 = 2232572111729149
BaseRepresentation
bin1101010001100101…
…00100111100111100
3200101200022212010200
412220302210330330
5104043430020030
63135104003500
7341415533100
oct65062447474
920350285120
107126798140
113027989a20
12146a900590
13897670227
144b8725900
152baa13d60
hex1a8ca4f3c

7126798140 has 864 divisors, whose sum is σ = 30250584000. Its totient is φ = 1336688640.

The previous prime is 7126798127. The next prime is 7126798171. The reversal of 7126798140 is 418976217.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 47830786 + ... + 47830934.

It is an arithmetic number, because the mean of its divisors is an integer number (35012250).

Almost surely, 27126798140 is an apocalyptic number.

7126798140 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 7126798140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15125292000).

7126798140 is an abundant number, since it is smaller than the sum of its proper divisors (23123785860).

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

7126798140 is a wasteful number, since it uses less digits than its factorization.

7126798140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 7126798140 is about 84420.3656708498. The cubic root of 7126798140 is about 1924.4124267322.

The spelling of 7126798140 in words is "seven billion, one hundred twenty-six million, seven hundred ninety-eight thousand, one hundred forty".