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901035694441 = 172558372
BaseRepresentation
bin11010001110010011110…
…10011001100101101001
310012010201201121210220201
431013021322121211221
5104230310114210231
61525532521552201
7122045335014601
oct15071172314551
93163651553821
10901035694441
11318144183413
12126763045661
1366c7621315c
1431878b85c01
151868840e161
hexd1c9e99969

901035694441 has 9 divisors (see below), whose sum is σ = 957172706949. Its totient is φ = 848018407104.

The previous prime is 901035694439. The next prime is 901035694501. The reversal of 901035694441 is 144496530109.

The square root of 901035694441 is 949229.

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 198221738841 + 702813955600 = 445221^2 + 838340^2 .

It is not a de Polignac number, because 901035694441 - 21 = 901035694439 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 901035694391 and 901035694400.

It is not an unprimeable number, because it can be changed into a prime (901035694421) 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, 16108975 + ... + 16164811.

Almost surely, 2901035694441 is an apocalyptic number.

901035694441 is the 949229-th square number.

901035694441 is the 474615-th centered octagonal number.

It is an amenable number.

901035694441 is a deficient number, since it is larger than the sum of its proper divisors (56137012508).

901035694441 is an frugal number, since it uses more digits than its factorization.

901035694441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111708 (or 55854 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The spelling of 901035694441 in words is "nine hundred one billion, thirty-five million, six hundred ninety-four thousand, four hundred forty-one".

Divisors: 1 17 289 55837 949229 16136893 3117770569 53002099673 901035694441