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4411010920 = 235137804929
BaseRepresentation
bin1000001101110101…
…01010111101101000
3102101102002120102211
410012322222331220
533013204322140
62005411134504
7214210655101
oct40672527550
912342076384
104411010920
11196399a878
12a312a4434
13553b19a44
142dbb833a8
151ac3b12ea
hex106eaaf68

4411010920 has 32 divisors (see below), whose sum is σ = 9997230600. Its totient is φ = 1751523328.

The previous prime is 4411010897. The next prime is 4411010921. The reversal of 4411010920 is 290101144.

It can be written as a sum of positive squares in 4 ways, for example, as 3186150916 + 1224860004 = 56446^2 + 34998^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4411010891 and 4411010900.

It is not an unprimeable number, because it can be changed into a prime (4411010921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 396985 + ... + 407944.

Almost surely, 24411010920 is an apocalyptic number.

4411010920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4411010920 is an abundant number, since it is smaller than the sum of its proper divisors (5586219680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4411010920 is a wasteful number, since it uses less digits than its factorization.

4411010920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805077 (or 805073 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 4411010920 is about 66415.4418791293. The cubic root of 4411010920 is about 1640.0082936325.

The spelling of 4411010920 in words is "four billion, four hundred eleven million, ten thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 137 274 548 685 1096 1370 2740 5480 804929 1609858 3219716 4024645 6439432 8049290 16098580 32197160 110275273 220550546 441101092 551376365 882202184 1102752730 2205505460 4411010920