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7000001257 = 71331329759
BaseRepresentation
bin1101000010011101…
…11000101011101001
3200001211201220111211
412201032320223221
5103314000020012
63114334153121
7335316012634
oct64116705351
920054656454
107000001257
112a72355607
1214343527a1
138773066a2
144a595ac1b
152ae8196a7
hex1a13b8ae9

7000001257 has 8 divisors (see below), whose sum is σ = 7100974080. Its totient is φ = 6899094720.

The previous prime is 7000001233. The next prime is 7000001287. The reversal of 7000001257 is 7521000007.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-7000001257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7000001227) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 220344 + ... + 250102.

It is an arithmetic number, because the mean of its divisors is an integer number (887621760).

Almost surely, 27000001257 is an apocalyptic number.

It is an amenable number.

7000001257 is a deficient number, since it is larger than the sum of its proper divisors (100972823).

7000001257 is a wasteful number, since it uses less digits than its factorization.

7000001257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33143.

The product of its (nonzero) digits is 490, while the sum is 22.

The square root of 7000001257 is about 83666.0101654190. The cubic root of 7000001257 is about 1912.9312972750.

The spelling of 7000001257 in words is "seven billion, one thousand, two hundred fifty-seven".

Divisors: 1 71 3313 29759 235223 2112889 98591567 7000001257