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1014768001 = 13611279657
BaseRepresentation
bin111100011111000…
…010000110000001
32121201110120000001
4330133002012001
54034240034001
6244410000001
734101246202
oct7437020601
92551416001
101014768001
114808a0245
12243a16001
1313230b050
1498ab35a9
155e14c001
hex3c7c2181

1014768001 has 8 divisors (see below), whose sum is σ = 1110743144. Its totient is φ = 921352320.

The previous prime is 1014767989. The next prime is 1014768019. The reversal of 1014768001 is 1008674101.

It can be written as a sum of positive squares in 4 ways, for example, as 126787600 + 887980401 = 11260^2 + 29799^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 1014768001 - 29 = 1014767489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1014768061) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 639036 + ... + 640621.

It is an arithmetic number, because the mean of its divisors is an integer number (138842893).

Almost surely, 21014768001 is an apocalyptic number.

It is an amenable number.

1014768001 is a deficient number, since it is larger than the sum of its proper divisors (95975143).

1014768001 is a wasteful number, since it uses less digits than its factorization.

1014768001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279731.

The product of its (nonzero) digits is 1344, while the sum is 28.

The square root of 1014768001 is about 31855.4234158016. The cubic root of 1014768001 is about 1004.8986312286.

The spelling of 1014768001 in words is "one billion, fourteen million, seven hundred sixty-eight thousand, one".

Divisors: 1 13 61 793 1279657 16635541 78059077 1014768001