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10229648648 = 23357592
BaseRepresentation
bin10011000011011110…
…00000110100001000
3222101220212222211212
421201233000310020
5131422242224043
64411024512252
7511333402352
oct114157006410
928356788755
1010229648648
11437a40848a
121b95a7b688
13c7045584b
146d08620d2
153ed122018
hex261bc0d08

10229648648 has 12 divisors (see below), whose sum is σ = 19181127615. Its totient is φ = 5114681288.

The previous prime is 10229648623. The next prime is 10229648683. The reversal of 10229648648 is 84684692201.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 5114824324 + 5114824324 = 71518^2 + 71518^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=71518.

It is a super-2 number, since 2×102296486482 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10229648596 and 10229648605.

It is an unprimeable number.

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 2 ways as a sum of consecutive naturals, for example, 268193 + ... + 303951.

Almost surely, 210229648648 is an apocalyptic number.

It is an amenable number.

10229648648 is a deficient number, since it is larger than the sum of its proper divisors (8951478967).

10229648648 is an frugal number, since it uses more digits than its factorization.

10229648648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71524 (or 35761 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 50.

Multiplying 10229648648 by its sum of digits (50), we get a square (511482432400 = 7151802).

The spelling of 10229648648 in words is "ten billion, two hundred twenty-nine million, six hundred forty-eight thousand, six hundred forty-eight".

Divisors: 1 2 4 8 35759 71518 143036 286072 1278706081 2557412162 5114824324 10229648648