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33893914609 = 71225932
BaseRepresentation
bin11111100100001111…
…000001011111110001
310020111010101021000201
4133210033001133301
51023403320231414
623323132115201
72306631343402
oct374417013761
9106433337021
1033893914609
111341325a785
12669b005b01
133272022199
1418d76659a9
15d358e6574
hex7e43c17f1

33893914609 has 9 divisors (see below), whose sum is σ = 34391280459. Its totient is φ = 33403648320.

The previous prime is 33893914597. The next prime is 33893914627. The reversal of 33893914609 is 90641939833.

The square root of 33893914609 is 184103.

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

It can be written as a sum of positive squares in only one way, i.e., 20467594225 + 13426320384 = 143065^2 + 115872^2 .

It is not a de Polignac number, because 33893914609 - 217 = 33893783537 is a prime.

It is a super-2 number, since 2×338939146092 (a number of 22 digits) contains 22 as substring.

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 33893914609.

It is not an unprimeable number, because it can be changed into a prime (33893912609) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13070017 + ... + 13072609.

Almost surely, 233893914609 is an apocalyptic number.

33893914609 is the 184103-rd square number.

33893914609 is the 92052-nd centered octagonal number.

It is an amenable number.

33893914609 is a deficient number, since it is larger than the sum of its proper divisors (497365850).

33893914609 is an frugal number, since it uses more digits than its factorization.

33893914609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5328 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 55.

The spelling of 33893914609 in words is "thirty-three billion, eight hundred ninety-three million, nine hundred fourteen thousand, six hundred nine".

Divisors: 1 71 2593 5041 184103 6723649 13071313 477379079 33893914609