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33485706081 = 3218123372
BaseRepresentation
bin11111001011111001…
…110101001101100001
310012102200021010012100
4133023321311031201
51022034320043311
623214430521013
72263543543152
oct371371651541
9105380233170
1033485706081
1113223898663
1265a6366169
133208598589
141899365929
15d0eb60a56
hex7cbe75361

33485706081 has 27 divisors (see below), whose sum is σ = 48781697913. Its totient is φ = 22134591360.

The previous prime is 33485706043. The next prime is 33485706083. The reversal of 33485706081 is 18060758433.

The square root of 33485706081 is 182991.

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

33485706081 is a `hidden beast` number, since 3 + 34 + 8 + 5 + 7 + 0 + 608 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21183347025 + 12302359056 = 145545^2 + 110916^2 .

It is not a de Polignac number, because 33485706081 - 233 = 24895771489 is a prime.

It is a super-2 number, since 2×334857060812 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33485706083) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 99363945 + ... + 99364281.

Almost surely, 233485706081 is an apocalyptic number.

33485706081 is the 182991-st square number.

33485706081 is the 91496-th centered octagonal number.

It is an amenable number.

33485706081 is a deficient number, since it is larger than the sum of its proper divisors (15295991832).

33485706081 is an frugal number, since it uses more digits than its factorization.

33485706081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 33485706081 in words is "thirty-three billion, four hundred eighty-five million, seven hundred six thousand, eighty-one".

Divisors: 1 3 9 181 337 543 1011 1629 3033 32761 60997 98283 113569 182991 294849 340707 548973 1022121 11040457 20555989 33121371 61667967 99364113 185003901 3720634009 11161902027 33485706081