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161229833012161 = 312149227492
BaseRepresentation
bin100100101010001100111110…
…111011001000001111000001
3210010212102101021111012100201
4210222030332323020033001
5132113042144222342121
61330523543542445201
745650320364330614
oct4452147673101701
9703772337435321
10161229833012161
1147411208533a21
12160bb508a33801
136bc6ba5ba7c44
142bb57cbc5017b
151398e5819de91
hex92a33eec83c1

161229833012161 has 27 divisors (see below), whose sum is σ = 167785218638793. Its totient is φ = 154925319546720.

The previous prime is 161229833012089. The next prime is 161229833012179. The reversal of 161229833012161 is 161210338922161.

The square root of 161229833012161 is 12697631.

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

It can be written as a sum of positive squares in 4 ways, for example, as 94028531442561 + 67201301569600 = 9696831^2 + 8197640^2 .

It is not a de Polignac number, because 161229833012161 - 221 = 161229830915009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (161229833012191) 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 26 ways as a sum of consecutive naturals, for example, 58650356215 + ... + 58650358963.

Almost surely, 2161229833012161 is an apocalyptic number.

161229833012161 is the 12697631-st square number.

161229833012161 is the 6348816-th centered octagonal number.

It is an amenable number.

161229833012161 is a deficient number, since it is larger than the sum of its proper divisors (6555385626632).

161229833012161 is an frugal number, since it uses more digits than its factorization.

161229833012161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5858 (or 2929 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The spelling of 161229833012161 in words is "one hundred sixty-one trillion, two hundred twenty-nine billion, eight hundred thirty-three million, twelve thousand, one hundred sixty-one".

Divisors: 1 31 149 961 2749 4619 22201 85219 143189 409601 688231 2641789 7557001 12697631 21335161 61030549 234267031 393626561 1125993149 1891947019 7262277961 34905787619 58650357589 167772979201 1082079416189 5200962355231 161229833012161