Search a number
-
+
13356165670785 = 325768362079833
BaseRepresentation
bin1100001001011011100110…
…0000101010011110000001
31202021211121011001020220200
43002112321200222132001
53222311411402431120
644223423210555413
72545644144013260
oct302267140523601
952254534036820
1013356165670785
11428a355365833
1215b8620a38b69
1375b633a4a442
143426286b05d7
15182657b4ae90
hexc25b982a781

13356165670785 has 48 divisors (see below), whose sum is σ = 26496666428544. Its totient is φ = 6096736141056.

The previous prime is 13356165670781. The next prime is 13356165670811. The reversal of 13356165670785 is 58707656165331.

It is a happy number.

13356165670785 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 61 + 6 + 567 + 0 + 7 + 8 + 5 = 666.

It is not a de Polignac number, because 13356165670785 - 22 = 13356165670781 is a prime.

It is a super-2 number, since 2×133561656707852 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (13356165670781) 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 47 ways as a sum of consecutive naturals, for example, 30824772 + ... + 31255061.

It is an arithmetic number, because the mean of its divisors is an integer number (552013883928).

Almost surely, 213356165670785 is an apocalyptic number.

13356165670785 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13356165670785 is a deficient number, since it is larger than the sum of its proper divisors (13140500757759).

13356165670785 is a wasteful number, since it uses less digits than its factorization.

13356165670785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62080534 (or 62080531 counting only the distinct ones).

The product of its (nonzero) digits is 95256000, while the sum is 63.

The spelling of 13356165670785 in words is "thirteen trillion, three hundred fifty-six billion, one hundred sixty-five million, six hundred seventy thousand, seven hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 683 2049 3415 4781 6147 10245 14343 23905 30735 43029 71715 215145 62079833 186239499 310399165 434558831 558718497 931197495 1303676493 2172794155 2793592485 3911029479 6518382465 19555147395 42400525939 127201577817 212002629695 296803681573 381604733451 636007889085 890411044719 1484018407865 1908023667255 2671233134157 4452055223595 13356165670785