Search a number
-
+
38768745123 = 351727432
BaseRepresentation
bin100100000110110011…
…000001101010100011
310201001212020022100000
4210012303001222203
51113344244320443
625450552431043
72541503616303
oct440663015243
9121055208300
1038768745123
1115494a45029
12761b6a8483
13386ac66b94
141c3ac63603
15101d8758d3
hex906cc1aa3

38768745123 has 54 divisors (see below), whose sum is σ = 61773512164. Its totient is φ = 24292747584.

The previous prime is 38768745047. The next prime is 38768745137. The reversal of 38768745123 is 32154786783.

It is a happy number.

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 is not a de Polignac number, because 38768745123 - 28 = 38768744867 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 38768745123.

It is not an unprimeable number, because it can be changed into a prime (38768745143) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 52178290 + ... + 52179032.

Almost surely, 238768745123 is an apocalyptic number.

38768745123 is a deficient number, since it is larger than the sum of its proper divisors (23004767041).

38768745123 is an frugal number, since it uses more digits than its factorization.

38768745123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 763 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 38768745123 in words is "thirty-eight billion, seven hundred sixty-eight million, seven hundred forty-five thousand, one hundred twenty-three".

Divisors: 1 3 9 17 27 51 81 153 243 289 459 743 867 1377 2229 2601 4131 6687 7803 12631 20061 23409 37893 60183 70227 113679 180549 214727 341037 552049 644181 1023111 1656147 1932543 3069333 4968441 5797629 9384833 14905323 17392887 28154499 44715969 52178661 84463497 134147907 159542161 253390491 478626483 760171473 1435879449 2280514419 4307638347 12922915041 38768745123