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2125320264 = 233236178161
BaseRepresentation
bin111111010101101…
…1101000001001000
312111010011110022100
41332223131001020
513323040222024
6550520553400
7103444631664
oct17653350110
95433143270
102125320264
119a0762631
124b3922860
1327b414a72
1416239b8a4
15c68b97c9
hex7eadd048

2125320264 has 48 divisors (see below), whose sum is σ = 5758372620. Its totient is φ = 708157440.

The previous prime is 2125320257. The next prime is 2125320271. The reversal of 2125320264 is 4620235212.

It is a happy number.

2125320264 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2125320257) and next prime (2125320271).

It can be written as a sum of positive squares in 2 ways, for example, as 1766520900 + 358799364 = 42030^2 + 18942^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 256344 + ... + 264504.

Almost surely, 22125320264 is an apocalyptic number.

2125320264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2125320264 is an abundant number, since it is smaller than the sum of its proper divisors (3633052356).

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

2125320264 is a wasteful number, since it uses less digits than its factorization.

2125320264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11790 (or 11783 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2125320264 is about 46101.1959063970. The cubic root of 2125320264 is about 1285.7053794515.

Adding to 2125320264 its reverse (4620235212), we get a palindrome (6745555476).

The spelling of 2125320264 in words is "two billion, one hundred twenty-five million, three hundred twenty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3617 7234 8161 10851 14468 16322 21702 24483 28936 32553 32644 43404 48966 65106 65288 73449 86808 97932 130212 146898 195864 260424 293796 587592 29518337 59036674 88555011 118073348 177110022 236146696 265665033 354220044 531330066 708440088 1062660132 2125320264