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754238403961 = 721240672
BaseRepresentation
bin10101111100111000001…
…11001011010101111001
32200002211011121210120021
422332130013023111321
544324140012411321
61334254202330441
7105330505440100
oct12763407132571
92602734553507
10754238403961
11270963a09339
12102214ab9a21
13561803408b3
14287108c7037
1514945ab5941
hexaf9c1cb579

754238403961 has 9 divisors (see below), whose sum is σ = 877386439749. Its totient is φ = 646484849724.

The previous prime is 754238403931. The next prime is 754238404009. The reversal of 754238403961 is 169304832457.

It is a happy number.

The square root of 754238403961 is 868469.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 754238403961 - 225 = 754204849529 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 754238403899 and 754238403908.

It is not an unprimeable number, because it can be changed into a prime (754238403901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6017250 + ... + 6141316.

It is a 1-persistent number, because it is pandigital, but 2⋅754238403961 = 1508476807922 is not.

Almost surely, 2754238403961 is an apocalyptic number.

754238403961 is the 868469-th square number.

754238403961 is the 434235-th centered octagonal number.

It is an amenable number.

754238403961 is a deficient number, since it is larger than the sum of its proper divisors (123148035788).

754238403961 is an frugal number, since it uses more digits than its factorization.

754238403961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248148 (or 124074 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 52.

The spelling of 754238403961 in words is "seven hundred fifty-four billion, two hundred thirty-eight million, four hundred three thousand, nine hundred sixty-one".

Divisors: 1 7 49 124067 868469 6079283 15392620489 107748343423 754238403961