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4153005468 = 2232182363281
BaseRepresentation
bin1111011110001001…
…1101010110011100
3101201102121112111100
43313202131112130
532001132133333
61524033153100
7204625651443
oct36742352634
911642545440
104153005468
111841299527
1297a9bb790
135125335b1
142b57c1d5a
151948ea213
hexf789d59c

4153005468 has 36 divisors (see below), whose sum is σ = 10503799488. Its totient is φ = 1383553920.

The previous prime is 4153005449. The next prime is 4153005469. The reversal of 4153005468 is 8645003514.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4153005469) 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 11 ways as a sum of consecutive naturals, for example, 33988 + ... + 97268.

It is an arithmetic number, because the mean of its divisors is an integer number (291772208).

Almost surely, 24153005468 is an apocalyptic number.

It is an amenable number.

4153005468 is an abundant number, since it is smaller than the sum of its proper divisors (6350794020).

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

4153005468 is a wasteful number, since it uses less digits than its factorization.

4153005468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65114 (or 65109 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 4153005468 is about 64443.8163674375. The cubic root of 4153005468 is about 1607.3884165263.

The spelling of 4153005468 in words is "four billion, one hundred fifty-three million, five thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 1823 3646 5469 7292 10938 16407 21876 32814 63281 65628 126562 189843 253124 379686 569529 759372 1139058 2278116 115361263 230722526 346083789 461445052 692167578 1038251367 1384335156 2076502734 4153005468