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35134878249 = 345923532
BaseRepresentation
bin100000101110001100…
…111011001000101001
310100200121110202010000
4200232030323020221
51033424012100444
624050222213213
72352450352242
oct405614731051
9110617422100
1035134878249
111399a7a5069
126986724209
13340c1599b3
1419b43b9cc9
15da9824469
hex82e33b229

35134878249 has 45 divisors (see below), whose sum is σ = 53541771943. Its totient is φ = 22961017728.

The previous prime is 35134878203. The next prime is 35134878253. The reversal of 35134878249 is 94287843153.

It is a happy number.

The square root of 35134878249 is 187443.

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

35134878249 is a `hidden beast` number, since 3 + 51 + 348 + 7 + 8 + 249 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14274275625 + 20860602624 = 119475^2 + 144432^2 .

It is not a de Polignac number, because 35134878249 - 211 = 35134876201 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 35134878195 and 35134878204.

It is not an unprimeable number, because it can be changed into a prime (35134874249) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 99532057 + ... + 99532409.

Almost surely, 235134878249 is an apocalyptic number.

35134878249 is the 187443-rd square number.

35134878249 is the 93722-nd centered octagonal number.

It is an amenable number.

35134878249 is a deficient number, since it is larger than the sum of its proper divisors (18406893694).

35134878249 is an frugal number, since it uses more digits than its factorization.

35134878249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 415 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 35134878249 in words is "thirty-five billion, one hundred thirty-four million, eight hundred seventy-eight thousand, two hundred forty-nine".

Divisors: 1 3 9 27 59 81 177 353 531 1059 1593 3177 3481 4779 9531 10443 20827 28593 31329 62481 93987 124609 187443 281961 373827 562329 1121481 1228793 1686987 3364443 3686379 7351931 10093329 11059137 22055793 33177411 66167379 99532233 198502137 433763929 595506411 1301291787 3903875361 11711626083 35134878249