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34617464648 = 23133112838369
BaseRepresentation
bin100000001111010111…
…001001011101001000
310022100112212102002022
4200033113021131020
51031344032332043
623523020224012
72333565410624
oct401727113510
9108315772068
1034617464648
1113754724618
12686139b008
133358bb87c0
1419657b0184
15d791bb868
hex80f5c9748

34617464648 has 64 divisors (see below), whose sum is σ = 72220377600. Its totient is φ = 15447997440.

The previous prime is 34617464641. The next prime is 34617464669. The reversal of 34617464648 is 84646471643.

It is a self number, because there is not a number n which added to its sum of digits gives 34617464648.

It is not an unprimeable number, because it can be changed into a prime (34617464641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4132208 + ... + 4140576.

It is an arithmetic number, because the mean of its divisors is an integer number (1128443400).

Almost surely, 234617464648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34617464648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36110188800).

34617464648 is an abundant number, since it is smaller than the sum of its proper divisors (37602912952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34617464648 is a wasteful number, since it uses less digits than its factorization.

34617464648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9702 (or 9698 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 53.

The spelling of 34617464648 in words is "thirty-four billion, six hundred seventeen million, four hundred sixty-four thousand, six hundred forty-eight".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 248 403 806 1283 1612 2566 3224 5132 8369 10264 16679 16738 33358 33476 39773 66716 66952 79546 108797 133432 159092 217594 259439 318184 435188 517049 518878 870376 1034098 1037756 2068196 2075512 3372707 4136392 6745414 10737427 13490828 21474854 26981656 42949708 85899416 139586551 279173102 332860237 558346204 665720474 1116692408 1331440948 2662881896 4327183081 8654366162 17308732324 34617464648