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924041935441 = 109288192
BaseRepresentation
bin11010111001001010011…
…00001111101001010001
310021100010001220221112201
431130211030033221101
5110114414213413231
61544255441323201
7123521422566532
oct15344514175121
93240101827481
10924041935441
1132697a645829
1212b103936501
13691a1678c01
1432a1c41a689
1519083053161
hexd72530fa51

924041935441 has 9 divisors (see below), whose sum is σ = 932702919771. Its totient is φ = 915460669224.

The previous prime is 924041935393. The next prime is 924041935451. The reversal of 924041935441 is 144539140429.

The square root of 924041935441 is 961271.

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

924041935441 is digitally balanced in base 2, 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 only one way, i.e., 644052795841 + 279989139600 = 802529^2 + 529140^2 .

It is a de Polignac number, because none of the positive numbers 2k-924041935441 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 924041935391 and 924041935400.

It is not an unprimeable number, because it can be changed into a prime (924041935451) 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, 104774130 + ... + 104782948.

Almost surely, 2924041935441 is an apocalyptic number.

924041935441 is the 961271-st square number.

924041935441 is the 480636-th centered octagonal number.

It is an amenable number.

924041935441 is a deficient number, since it is larger than the sum of its proper divisors (8660984330).

924041935441 is an frugal number, since it uses more digits than its factorization.

924041935441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17856 (or 8928 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 924041935441 in words is "nine hundred twenty-four billion, forty-one million, nine hundred thirty-five thousand, four hundred forty-one".

Divisors: 1 109 8819 11881 961271 77774761 104778539 8477448949 924041935441