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110964048325 = 52132574013313
BaseRepresentation
bin110011101010111111…
…0010000000111000101
3101121102021102201001121
41213111332100013011
53304223244021300
6122550504353541
711005535563654
oct1472576200705
9347367381047
10110964048325
1143072348969
12196097758b1
13a60515a0c0
14552925319b
152d46a7681a
hex19d5f901c5

110964048325 has 48 divisors (see below), whose sum is σ = 149172233616. Its totient is φ = 81395712000.

The previous prime is 110964048263. The next prime is 110964048329. The reversal of 110964048325 is 523840469011.

It can be written as a sum of positive squares in 24 ways, for example, as 4222010529 + 106742037796 = 64977^2 + 326714^2 .

It is not a de Polignac number, because 110964048325 - 233 = 102374113733 is a prime.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110964048329) 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 47 ways as a sum of consecutive naturals, for example, 33491869 + ... + 33495181.

It is an arithmetic number, because the mean of its divisors is an integer number (3107754867).

Almost surely, 2110964048325 is an apocalyptic number.

It is an amenable number.

110964048325 is a deficient number, since it is larger than the sum of its proper divisors (38208185291).

110964048325 is a wasteful number, since it uses less digits than its factorization.

110964048325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3994 (or 3989 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 110964048325 in words is "one hundred ten billion, nine hundred sixty-four million, forty-eight thousand, three hundred twenty-five".

Divisors: 1 5 13 25 65 257 325 401 1285 2005 3313 3341 5213 6425 10025 16565 16705 26065 43069 82825 83525 103057 130325 215345 515285 851441 1076725 1328513 1339741 2576425 4257205 6642565 6698705 11068733 17270669 21286025 33212825 33493525 55343665 86353345 276718325 341427841 431766725 1707139205 4438561933 8535696025 22192809665 110964048325