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34719093696 = 263744358313
BaseRepresentation
bin100000010101011010…
…110101001111000000
310022121122002200221010
4200111122311033000
51032101041444241
623541050400520
72336241266340
oct402532651700
9108548080833
1034719093696
11137a7028a71
12688b430140
133373c7c931
1419750a6d20
15d83093d16
hex8156b53c0

34719093696 has 112 divisors (see below), whose sum is σ = 105222714624. Its totient is φ = 9897179136.

The previous prime is 34719093631. The next prime is 34719093701. The reversal of 34719093696 is 69639091743.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 566236 + ... + 624548.

Almost surely, 234719093696 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 34719093696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52611357312).

34719093696 is an abundant number, since it is smaller than the sum of its proper divisors (70503620928).

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

34719093696 is a wasteful number, since it uses less digits than its factorization.

34719093696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58778 (or 58768 counting only the distinct ones).

The product of its (nonzero) digits is 6613488, while the sum is 57.

The spelling of 34719093696 in words is "thirty-four billion, seven hundred nineteen million, ninety-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 443 448 672 886 1329 1344 1772 2658 3101 3544 5316 6202 7088 9303 10632 12404 14176 18606 21264 24808 28352 37212 42528 49616 58313 74424 85056 99232 116626 148848 174939 198464 233252 297696 349878 408191 466504 595392 699756 816382 933008 1224573 1399512 1632764 1866016 2449146 2799024 3265528 3732032 4898292 5598048 6531056 9796584 11196096 13062112 19593168 25832659 26124224 39186336 51665318 77497977 78372672 103330636 154995954 180828613 206661272 309991908 361657226 413322544 542485839 619983816 723314452 826645088 1084971678 1239967632 1446628904 1653290176 2169943356 2479935264 2893257808 4339886712 4959870528 5786515616 8679773424 11573031232 17359546848 34719093696