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10326827641 = 13278172
BaseRepresentation
bin10011001111000011…
…01110001001111001
3222122200202012100211
421213201232021321
5132122131441031
64424415431121
7513623405134
oct114741561171
928580665324
1010326827641
11441a2524a9
1220025254a1
13c8761c300
146dd71b21b
1540691abb1
hex26786e279

10326827641 has 9 divisors (see below), whose sum is σ = 11183735181. Its totient is φ = 9531236832.

The previous prime is 10326827603. The next prime is 10326827723. The reversal of 10326827641 is 14672862301.

The square root of 10326827641 is 101621.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8431096041 + 1895731600 = 91821^2 + 43540^2 .

It is not a de Polignac number, because 10326827641 - 27 = 10326827513 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10326827594 and 10326827603.

It is not an unprimeable number, because it can be changed into a prime (10326827141) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1317165 + ... + 1324981.

Almost surely, 210326827641 is an apocalyptic number.

10326827641 is the 101621-st square number.

10326827641 is the 50811-st centered octagonal number.

It is an amenable number.

10326827641 is a deficient number, since it is larger than the sum of its proper divisors (856907540).

10326827641 is an frugal number, since it uses more digits than its factorization.

10326827641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15660 (or 7830 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 10326827641 in words is "ten billion, three hundred twenty-six million, eight hundred twenty-seven thousand, six hundred forty-one".

Divisors: 1 13 169 7817 101621 1321073 61105489 794371357 10326827641