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9745632048 = 243142492
BaseRepresentation
bin10010001001110001…
…01000101100110000
3221011012010101220010
421010320220230300
5124424340211143
64251014414520
7463335335265
oct110470505460
927135111803
109745632048
114151178669
121a7b961440
13bc40a88a9
1468646b26c
153c08b4a33
hex244e28b30

9745632048 has 30 divisors (see below), whose sum is σ = 25177983124. Its totient is φ = 3248316032.

The previous prime is 9745632047. The next prime is 9745632053. The reversal of 9745632048 is 8402365479.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 9745631988 and 9745632006.

It is not an unprimeable number, because it can be changed into a prime (9745632047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 676828 + ... + 691076.

Almost surely, 29745632048 is an apocalyptic number.

It is an amenable number.

9745632048 is an abundant number, since it is smaller than the sum of its proper divisors (15432351076).

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

9745632048 is an frugal number, since it uses more digits than its factorization.

9745632048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28509 (or 14254 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The square root of 9745632048 is about 98719.9678281957. The cubic root of 9745632048 is about 2136.0102715213.

Multiplying 9745632048 by its sum of digits (48), we get a square (467790338304 = 6839522).

9745632048 divided by its sum of digits (48) gives a square (203034001 = 142492).

The spelling of 9745632048 in words is "nine billion, seven hundred forty-five million, six hundred thirty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 14249 28498 42747 56996 85494 113992 170988 227984 341976 683952 203034001 406068002 609102003 812136004 1218204006 1624272008 2436408012 3248544016 4872816024 9745632048