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10442365164 = 22327113767087
BaseRepresentation
bin10011011100110100…
…11101100011101100
3222221202011010001100
421232122131203230
5132341221141124
64444104043100
7516525432210
oct115632354354
928852133040
1010442365164
114479496560
122035163490
13ca5542cca
14710bd4940
15411b3e1c9
hex26e69d8ec

10442365164 has 72 divisors (see below), whose sum is σ = 32909280768. Its totient is φ = 2712301920.

The previous prime is 10442365151. The next prime is 10442365169. The reversal of 10442365164 is 46156324401.

10442365164 is a `hidden beast` number, since 10 + 4 + 423 + 65 + 164 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10442365169) 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 23 ways as a sum of consecutive naturals, for example, 1880772 + ... + 1886315.

It is an arithmetic number, because the mean of its divisors is an integer number (457073344).

Almost surely, 210442365164 is an apocalyptic number.

10442365164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10442365164 is an abundant number, since it is smaller than the sum of its proper divisors (22466915604).

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

10442365164 is a wasteful number, since it uses less digits than its factorization.

10442365164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3767115 (or 3767110 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 10442365164 its reverse (46156324401), we get a palindrome (56598689565).

The spelling of 10442365164 in words is "ten billion, four hundred forty-two million, three hundred sixty-five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 3767087 7534174 11301261 15068348 22602522 26369609 33903783 41437957 45205044 52739218 67807566 79108827 82875914 105478436 124313871 135615132 158217654 165751828 237326481 248627742 290065699 316435308 372941613 474652962 497255484 580131398 745883226 870197097 949305924 1160262796 1491766452 1740394194 2610591291 3480788388 5221182582 10442365164