Search a number
-
+
10673419024 = 2419197178223
BaseRepresentation
bin10011111000010111…
…10111001100010000
31000112211220212100201
421330023313030100
5133324343402044
64523040224544
7525332364502
oct117413671420
930484825321
1010673419024
114587959764
12209a60b154
131011380b78
1473377bd72
1542707e7d4
hex27c2f7310

10673419024 has 40 divisors (see below), whose sum is σ = 21878778240. Its totient is φ = 5030137728.

The previous prime is 10673419019. The next prime is 10673419037. The reversal of 10673419024 is 42091437601.

10673419024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106734190242 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29224 + ... + 148999.

It is an arithmetic number, because the mean of its divisors is an integer number (546969456).

Almost surely, 210673419024 is an apocalyptic number.

It is an amenable number.

10673419024 is an abundant number, since it is smaller than the sum of its proper divisors (11205359216).

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

10673419024 is a wasteful number, since it uses less digits than its factorization.

10673419024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178447 (or 178441 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The spelling of 10673419024 in words is "ten billion, six hundred seventy-three million, four hundred nineteen thousand, twenty-four".

Divisors: 1 2 4 8 16 19 38 76 152 197 304 394 788 1576 3152 3743 7486 14972 29944 59888 178223 356446 712892 1425784 2851568 3386237 6772474 13544948 27089896 35109931 54179792 70219862 140439724 280879448 561758896 667088689 1334177378 2668354756 5336709512 10673419024