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345506410161 = 32113489963739
BaseRepresentation
bin1010000011100011100…
…10010110111010110001
31020000210221021011221200
411001301302112322301
521130044120111121
6422420133241413
733650654013153
oct5016162267261
91200727234850
10345506410161
1112358a3a7840
1256b65493269
132677292a723
1412a18b54ad3
158ec27cea26
hex5071c96eb1

345506410161 has 12 divisors (see below), whose sum is σ = 544434343440. Its totient is φ = 209397824280.

The previous prime is 345506410127. The next prime is 345506410189. The reversal of 345506410161 is 161014605543.

345506410161 is a `hidden beast` number, since 3 + 4 + 5 + 5 + 0 + 641 + 0 + 1 + 6 + 1 = 666.

It is not a de Polignac number, because 345506410161 - 217 = 345506279089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (345506410661) 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 11 ways as a sum of consecutive naturals, for example, 1744981771 + ... + 1744981968.

It is an arithmetic number, because the mean of its divisors is an integer number (45369528620).

Almost surely, 2345506410161 is an apocalyptic number.

It is an amenable number.

345506410161 is a deficient number, since it is larger than the sum of its proper divisors (198927933279).

345506410161 is a wasteful number, since it uses less digits than its factorization.

345506410161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3489963756 (or 3489963753 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 345506410161 in words is "three hundred forty-five billion, five hundred six million, four hundred ten thousand, one hundred sixty-one".

Divisors: 1 3 9 11 33 99 3489963739 10469891217 31409673651 38389601129 115168803387 345506410161