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2263460610132 = 223277578105441
BaseRepresentation
bin100000111100000000110…
…001000000000001010100
322000101101110110112212100
4200330000301000001110
5244041031404011012
64451453000122100
7322346443512111
oct40740061000124
98011343415770
102263460610132
117a2a23562717
12306810466330
1313559c268117
147b7a2c8b908
153dd278d08dc
hex20f00c40054

2263460610132 has 36 divisors (see below), whose sum is σ = 5722263732276. Its totient is φ = 754389511680.

The previous prime is 2263460610119. The next prime is 2263460610149. The reversal of 2263460610132 is 2310160643622.

2263460610132 is a `hidden beast` number, since 2 + 2 + 6 + 3 + 4 + 6 + 0 + 610 + 1 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1253423550096 + 1010037060036 = 1119564^2 + 1005006^2 .

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3773469 + ... + 4331972.

It is an arithmetic number, because the mean of its divisors is an integer number (158951770341).

Almost surely, 22263460610132 is an apocalyptic number.

It is an amenable number.

2263460610132 is an abundant number, since it is smaller than the sum of its proper divisors (3458803122144).

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

2263460610132 is a wasteful number, since it uses less digits than its factorization.

2263460610132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8113208 (or 8113203 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 2263460610132 in words is "two trillion, two hundred sixty-three billion, four hundred sixty million, six hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 7757 15514 23271 31028 46542 69813 93084 139626 279252 8105441 16210882 24316323 32421764 48632646 72948969 97265292 145897938 291795876 62873905837 125747811674 188621717511 251495623348 377243435022 565865152533 754486870044 1131730305066 2263460610132