Search a number
-
+
161620500406311 = 3437401134482363
BaseRepresentation
bin100100101111111000110100…
…100000111110000000100111
3210012020202202120010001220000
4210233320310200332000213
5132140442241101000221
61331423233300512343
746020460444360332
oct4457706440760047
9705222676101800
10161620500406311
1147551962050421
12161631766ab6b3
136c24994b900ab
142bca68c77b619
1513a41c05bae26
hex92fe3483e027

161620500406311 has 40 divisors (see below), whose sum is σ = 248576663688144. Its totient is φ = 104573484691200.

The previous prime is 161620500406271. The next prime is 161620500406373. The reversal of 161620500406311 is 113604005026161.

161620500406311 is a `hidden beast` number, since 1 + 6 + 16 + 2 + 0 + 5 + 0 + 0 + 4 + 0 + 631 + 1 = 666.

It is not a de Polignac number, because 161620500406311 - 218 = 161620500144167 is a prime.

It is a super-2 number, since 2×1616205004063112 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161620500006311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 66039385 + ... + 68442978.

Almost surely, 2161620500406311 is an apocalyptic number.

161620500406311 is a deficient number, since it is larger than the sum of its proper divisors (86956163281833).

161620500406311 is a wasteful number, since it uses less digits than its factorization.

161620500406311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134482813 (or 134482804 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 161620500406311 in words is "one hundred sixty-one trillion, six hundred twenty billion, five hundred million, four hundred six thousand, three hundred eleven".

Divisors: 1 3 9 27 37 81 111 333 401 999 1203 2997 3609 10827 14837 32481 44511 133533 400599 1201797 134482363 403447089 1210341267 3631023801 4975847431 10893071403 14927542293 44782626879 53927427563 134347880637 161782282689 403043641911 485346848067 1456040544201 1995314819831 4368121632603 5985944459493 17957833378479 53873500135437 161620500406311