Search a number
-
+
153364663616101 = 75359101191363199
BaseRepresentation
bin100010110111101111111110…
…010010111100001001100101
3202010000112000002200010222021
4202313233332102330021211
5130100211312341203401
61302102430454303141
744206142222461210
oct4267577622741145
9663015002603867
10153364663616101
1144959652448083
121524b123657ab1
1367762c1bb6a42
1429c2c64444777
1512ae5781e22a1
hex8b7bfe4bc265

153364663616101 has 64 divisors (see below), whose sum is σ = 184366596096000. Its totient is φ = 124876189152000.

The previous prime is 153364663616069. The next prime is 153364663616123. The reversal of 153364663616101 is 101616366463351.

It is a cyclic number.

It is not a de Polignac number, because 153364663616101 - 25 = 153364663616069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153364663656101) 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, 422079100 + ... + 422442298.

It is an arithmetic number, because the mean of its divisors is an integer number (2880728064000).

Almost surely, 2153364663616101 is an apocalyptic number.

It is an amenable number.

153364663616101 is a deficient number, since it is larger than the sum of its proper divisors (31001932479899).

153364663616101 is a wasteful number, since it uses less digits than its factorization.

153364663616101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363610.

The product of its (nonzero) digits is 4199040, while the sum is 52.

The spelling of 153364663616101 in words is "one hundred fifty-three trillion, three hundred sixty-four billion, six hundred sixty-three million, six hundred sixteen thousand, one hundred one".

Divisors: 1 7 53 59 101 191 371 413 707 1337 3127 5353 5959 10123 11269 19291 21889 37471 41713 70861 78883 135037 315827 363199 597257 1022423 1138169 2210789 2542393 4180799 7156961 7967183 19249547 21428741 36683099 60322957 69371009 134746829 150001187 256781693 422260699 485597063 1135723273 1944204247 2164302841 3676663477 4092889531 7006471909 7950062911 13609429729 15150119887 25736644339 28650226717 49045303363 114708050573 216923145143 371343011177 413381842631 802956354011 1518462016001 2599401078239 2893672898417 21909237659443 153364663616101