Search a number
-
+
161741368546564 = 2223283233312
BaseRepresentation
bin100100110001101001011000…
…110100010101010100000100
3210012200022202001211202221011
4210301221120310111110010
5132144432310321442224
61331554543044332004
746032266614536022
oct4461513064252404
9705608661752834
10161741368546564
1147599146a57124
12161826890a4004
136c331b7b97501
142bd2477109712
1513a73e68a8394
hex931a58d15504

161741368546564 has 81 divisors (see below), whose sum is σ = 299586680621319. Its totient is φ = 76399641988560.

The previous prime is 161741368546561. The next prime is 161741368546567. The reversal of 161741368546564 is 465645863147161.

It is a happy number.

The square root of 161741368546564 is 12717758.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (161741368546561) and next prime (161741368546567).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 161741368546564.

It is not an unprimeable number, because it can be changed into a prime (161741368546561) 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 26 ways as a sum of consecutive naturals, for example, 48556398379 + ... + 48556401709.

Almost surely, 2161741368546564 is an apocalyptic number.

161741368546564 is the 12717758-th square number.

It is an amenable number.

161741368546564 is a deficient number, since it is larger than the sum of its proper divisors (137845312074755).

161741368546564 is an frugal number, since it uses more digits than its factorization.

161741368546564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6878 (or 3439 counting only the distinct ones).

The product of its digits is 348364800, while the sum is 67.

The spelling of 161741368546564 in words is "one hundred sixty-one trillion, seven hundred forty-one billion, three hundred sixty-eight million, five hundred forty-six thousand, five hundred sixty-four".

Divisors: 1 2 4 23 46 83 92 166 332 529 1058 1909 2116 3331 3818 6662 6889 7636 13324 13778 27556 43907 76613 87814 153226 158447 175628 276473 306452 316894 552946 633788 1105892 1762099 3524198 3644281 6358879 7048396 7288562 11095561 12717758 14577124 22191122 22947259 25435516 44382244 45894518 91789036 146254217 255197903 292508434 510395806 527786957 585016868 920931563 1020791612 1055573914 1841863126 2111147828 3683726252 5869551769 11739103538 12139100011 21181425949 23478207076 24278200022 42362851898 48556400044 76437319729 84725703796 152874639458 305749278916 487172796827 974345593654 1758058353767 1948691187308 3516116707534 7032233415068 40435342136641 80870684273282 161741368546564