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34618760874 = 23219971935407
BaseRepresentation
bin100000001111011100…
…000101111010101010
310022100122022021011200
4200033130011322222
51031344400321444
623523104105030
72333612416665
oct401734057252
9108318267150
1034618760874
111375542a485
126861905176
1333592507b9
141965a2a6dc
15d79375969
hex80f705eaa

34618760874 has 96 divisors (see below), whose sum is σ = 80197178880. Its totient is φ = 10761486336.

The previous prime is 34618760863. The next prime is 34618760929. The reversal of 34618760874 is 47806781643.

It is a self number, because there is not a number n which added to its sum of digits gives 34618760874.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6399879 + ... + 6405285.

It is an arithmetic number, because the mean of its divisors is an integer number (835387280).

Almost surely, 234618760874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34618760874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40098589440).

34618760874 is an abundant number, since it is smaller than the sum of its proper divisors (45578418006).

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

34618760874 is a wasteful number, since it uses less digits than its factorization.

34618760874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5724 (or 5721 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 34618760874 in words is "thirty-four billion, six hundred eighteen million, seven hundred sixty thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 18 19 38 57 97 114 171 193 194 291 342 386 579 582 873 1158 1737 1746 1843 3474 3667 3686 5407 5529 7334 10814 11001 11058 16221 16587 18721 22002 32442 33003 33174 37442 48663 56163 66006 97326 102733 112326 168489 205466 308199 336978 355699 524479 616398 711398 924597 1043551 1048958 1067097 1573437 1849194 2087102 2134194 3130653 3146874 3201291 4720311 6261306 6402582 9391959 9440622 9965101 18783918 19827469 19930202 29895303 39654938 59482407 59790606 89685909 101224447 118964814 178447221 179371818 202448894 303673341 356894442 607346682 911020023 1822040046 1923264493 3846528986 5769793479 11539586958 17309380437 34618760874