Search a number
-
+
13283055754005 = 3537101988323977
BaseRepresentation
bin1100000101001011001111…
…0100011101101100010101
31202000211212222211200020010
43001102303310131230111
53220112144233112010
644130052423430433
72540445334663662
oct301226364355425
952024788750203
1013283055754005
114261348759204
1215a64185b5419
1375478221505b
1433cc90a3ca69
151807c94d3620
hexc14b3d1db15

13283055754005 has 64 divisors (see below), whose sum is σ = 22046553301248. Its totient is φ = 6823607961600.

The previous prime is 13283055753883. The next prime is 13283055754013. The reversal of 13283055754005 is 50045755038231.

13283055754005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13283055754005 - 211 = 13283055751957 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 553979577 + ... + 554003553.

It is an arithmetic number, because the mean of its divisors is an integer number (344477395332).

Almost surely, 213283055754005 is an apocalyptic number.

13283055754005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13283055754005 is a deficient number, since it is larger than the sum of its proper divisors (8763497547243).

13283055754005 is a wasteful number, since it uses less digits than its factorization.

13283055754005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34006.

The product of its (nonzero) digits is 2520000, while the sum is 48.

The spelling of 13283055754005 in words is "thirteen trillion, two hundred eighty-three billion, fifty-five million, seven hundred fifty-four thousand, five".

Divisors: 1 3 5 15 37 101 111 185 303 505 555 1515 3737 9883 11211 18685 23977 29649 49415 56055 71931 119885 148245 359655 365671 887149 998183 1097013 1828355 2421677 2661447 2994549 4435745 4990915 5485065 7265031 12108385 13307235 14972745 36325155 36932771 89602049 110798313 184663855 236964691 268806147 448010245 553991565 710894073 1184823455 1344030735 3554470365 8767693567 23933433791 26303080701 43838467835 71800301373 119667168955 131515403505 359001506865 885537050267 2656611150801 4427685251335 13283055754005