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34005520716 = 22317717333203
BaseRepresentation
bin11111101010111000…
…110001000101001100
310020202220101102211020
4133222320301011030
51024120403130331
623342200154140
72312455104546
oct375270610514
9106686342736
1034005520716
1113470259032
126710468950
13328c19a5bb
1419083d8696
15d405dec96
hex7eae3114c

34005520716 has 96 divisors (see below), whose sum is σ = 85339795968. Its totient is φ = 10500510720.

The previous prime is 34005520697. The next prime is 34005520729. The reversal of 34005520716 is 61702550043.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10615171 + ... + 10618373.

It is an arithmetic number, because the mean of its divisors is an integer number (888956208).

Almost surely, 234005520716 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 34005520716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42669897984).

34005520716 is an abundant number, since it is smaller than the sum of its proper divisors (51334275252).

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

34005520716 is a wasteful number, since it uses less digits than its factorization.

34005520716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4031 (or 4029 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The spelling of 34005520716 in words is "thirty-four billion, five million, five hundred twenty thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 12 17 34 51 68 71 102 142 204 213 284 426 733 852 1207 1466 2199 2414 2932 3203 3621 4398 4828 6406 7242 8796 9609 12461 12812 14484 19218 24922 37383 38436 49844 52043 54451 74766 104086 108902 149532 156129 163353 208172 217804 227413 312258 326706 454826 624516 653412 682239 884731 909652 1364478 1769462 2347799 2654193 2728956 3538924 3866021 4695598 5308386 7043397 7732042 9391196 10616772 11598063 14086794 15464084 23196126 28173588 39912583 46392252 79825166 119737749 159650332 166693729 239475498 333387458 478950996 500081187 666774916 1000162374 2000324748 2833793393 5667586786 8501380179 11335173572 17002760358 34005520716