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526903226161 = 132558372
BaseRepresentation
bin1111010101011011110…
…00010010111100110001
31212101000210101012112021
413222231320102330301
532113044211214121
61042020032431441
753032103345134
oct7525570227461
91771023335467
10526903226161
11193505153504
128614a9a8581
133a8c0a77400
141b70627421b
15da8c94e641
hex7aade12f31

526903226161 has 9 divisors (see below), whose sum is σ = 570562232481. Its totient is φ = 486363498192.

The previous prime is 526903226147. The next prime is 526903226167. The reversal of 526903226161 is 161622309625.

The square root of 526903226161 is 725881.

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 20357867761 + 506545358400 = 142681^2 + 711720^2 .

It is not a de Polignac number, because 526903226161 - 215 = 526903193393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (526903226167) 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, 9408535 + ... + 9464371.

It is an arithmetic number, because the mean of its divisors is an integer number (63395803609).

Almost surely, 2526903226161 is an apocalyptic number.

526903226161 is the 725881-st square number.

526903226161 is the 362941-st centered octagonal number.

It is an amenable number.

526903226161 is a deficient number, since it is larger than the sum of its proper divisors (43659006320).

526903226161 is an frugal number, since it uses more digits than its factorization.

526903226161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111700 (or 55850 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 43.

The spelling of 526903226161 in words is "five hundred twenty-six billion, nine hundred three million, two hundred twenty-six thousand, one hundred sixty-one".

Divisors: 1 13 169 55837 725881 9436453 3117770569 40531017397 526903226161