Search a number
-
+
1938278113956 = 223253841058721
BaseRepresentation
bin11100001101001010011…
…000001110001010100100
320212022000221020011121200
4130031022120032022210
5223224043144121311
64042233242442500
7260015224062312
oct34151230161244
96768027204550
101938278113956
11688023512308
12273799503430
13110a18166c02
1469b554590b2
1535644501556
hex1c34a60e2a4

1938278113956 has 18 divisors (see below), whose sum is σ = 4899536343702. Its totient is φ = 646092704640.

The previous prime is 1938278113951. The next prime is 1938278113969. The reversal of 1938278113956 is 6593118728391.

1938278113956 is a `hidden beast` number, since 1 + 9 + 382 + 78 + 1 + 139 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1851450062400 + 86828051556 = 1360680^2 + 294666^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 1938278113893 and 1938278113902.

It is not an unprimeable number, because it can be changed into a prime (1938278113951) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 26920529325 + ... + 26920529396.

It is an arithmetic number, because the mean of its divisors is an integer number (272196463539).

Almost surely, 21938278113956 is an apocalyptic number.

It is an amenable number.

1938278113956 is an abundant number, since it is smaller than the sum of its proper divisors (2961258229746).

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

1938278113956 is a wasteful number, since it uses less digits than its factorization.

1938278113956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53841058731 (or 53841058726 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 63.

The spelling of 1938278113956 in words is "one trillion, nine hundred thirty-eight billion, two hundred seventy-eight million, one hundred thirteen thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 53841058721 107682117442 161523176163 215364234884 323046352326 484569528489 646092704652 969139056978 1938278113956