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10374441025 = 5213215672
BaseRepresentation
bin10011010100101110…
…10110100001000001
3222210000100012122111
421222113112201001
5132221324103100
64433240135321
7515042202514
oct115227264101
928700305574
1010374441025
114444113103
122016467541
13c94450300
14705b92d7b
1540abc36ba
hex26a5d6841

10374441025 has 27 divisors (see below), whose sum is σ = 13938884361. Its totient is φ = 7656236640.

The previous prime is 10374440953. The next prime is 10374441031. The reversal of 10374441025 is 52014447301.

The square root of 10374441025 is 101855.

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

10374441025 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2674027521 + 7700413504 = 51711^2 + 87752^2 .

It is not a de Polignac number, because 10374441025 - 213 = 10374432833 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6619792 + ... + 6621358.

Almost surely, 210374441025 is an apocalyptic number.

10374441025 is the 101855-th square number.

10374441025 is the 50928-th centered octagonal number.

It is an amenable number.

10374441025 is a deficient number, since it is larger than the sum of its proper divisors (3564443336).

10374441025 is an frugal number, since it uses more digits than its factorization.

10374441025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3170 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

Adding to 10374441025 its reverse (52014447301), we get a palindrome (62388888326).

The spelling of 10374441025 in words is "ten billion, three hundred seventy-four million, four hundred forty-one thousand, twenty-five".

Divisors: 1 5 13 25 65 169 325 845 1567 4225 7835 20371 39175 101855 264823 509275 1324115 2455489 6620575 12277445 31921357 61387225 159606785 414977641 798033925 2074888205 10374441025