Search a number
-
+
153005440066113 = 31737401874723117
BaseRepresentation
bin100010110010100001011010…
…111001110110001001000001
3202001202011210012012001122210
4202302201122321312021001
5130023320120124103423
61301225421231052333
744141164303621515
oct4262413271661101
9661664705161583
10153005440066113
114483027408a148
12151b15903710a9
13674b47445693b
1429ad707a08145
1512a5051554b93
hex8b285ae76241

153005440066113 has 64 divisors (see below), whose sum is σ = 222434004158208. Its totient is φ = 93161104588800.

The previous prime is 153005440066093. The next prime is 153005440066273. The reversal of 153005440066113 is 311660044500351.

It is not a de Polignac number, because 153005440066113 - 216 = 153005440000577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (153005440062113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6618729631 + ... + 6618752747.

It is an arithmetic number, because the mean of its divisors is an integer number (3475531314972).

Almost surely, 2153005440066113 is an apocalyptic number.

It is an amenable number.

153005440066113 is a deficient number, since it is larger than the sum of its proper divisors (69428564092095).

153005440066113 is a wasteful number, since it uses less digits than its factorization.

153005440066113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32322.

The product of its (nonzero) digits is 129600, while the sum is 39.

Adding to 153005440066113 its reverse (311660044500351), we get a palindrome (464665484566464).

The spelling of 153005440066113 in words is "one hundred fifty-three trillion, five billion, four hundred forty million, sixty-six thousand, one hundred thirteen".

Divisors: 1 3 17 37 51 111 401 629 1203 1887 6817 8747 14837 20451 23117 26241 44511 69351 148699 252229 323639 392989 446097 756687 855329 970917 1178967 2565987 3507547 5501863 9269917 10522641 14540593 16505589 27809751 43621779 59628299 129779239 157588589 178884897 202204399 342986929 389337717 472765767 606613197 1028960787 2206247063 3437474783 5830777793 6618741189 7481562763 10312424349 17492333379 22444688289 81083963999 127186566971 243251891997 381559700913 1378427387983 3000106667963 4135282163949 9000320003889 51001813355371 153005440066113