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903965494441 = 401223712
BaseRepresentation
bin11010010011110001000…
…10101100110010101001
310012102021220120001221211
431021320202230302221
5104302310131310231
61531135341433121
7122211051631552
oct15117042546251
93172256501854
10903965494441
11319407a56529
1212724026b7a1
13673221b8b19
1431a75d17329
15187aa737eb1
hexd2788acca9

903965494441 has 9 divisors (see below), whose sum is σ = 906607767639. Its totient is φ = 901330908000.

The previous prime is 903965494417. The next prime is 903965494451. The reversal of 903965494441 is 144494569309.

The square root of 903965494441 is 950771.

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

It can be written as a sum of positive squares in only one way, i.e., 894970868841 + 8994625600 = 946029^2 + 94840^2 .

It is not a de Polignac number, because 903965494441 - 217 = 903965363369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (903965494451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 381257986 + ... + 381260356.

Almost surely, 2903965494441 is an apocalyptic number.

903965494441 is the 950771-st square number.

903965494441 is the 475386-th centered octagonal number.

It is an amenable number.

903965494441 is a deficient number, since it is larger than the sum of its proper divisors (2642273198).

903965494441 is an frugal number, since it uses more digits than its factorization.

903965494441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5544 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 58.

The spelling of 903965494441 in words is "nine hundred three billion, nine hundred sixty-five million, four hundred ninety-four thousand, four hundred forty-one".

Divisors: 1 401 2371 160801 950771 5621641 381259171 2254278041 903965494441