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34878848172 = 223734324583
BaseRepresentation
bin100000011110111100…
…001111110010101100
310100000202201001212120
4200132330033302230
51032412441120142
624004554432540
72343221214000
oct403674176254
9110022631776
1034878848172
1113879222963
126914a32750
13339b0b56cc
14198c3b0700
15d920ed7ec
hex81ef0fcac

34878848172 has 144 divisors (see below), whose sum is σ = 97188134400. Its totient is φ = 9731508192.

The previous prime is 34878848161. The next prime is 34878848177. The reversal of 34878848172 is 27184887843.

It is not an unprimeable number, because it can be changed into a prime (34878848177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7608193 + ... + 7612775.

It is an arithmetic number, because the mean of its divisors is an integer number (674917600).

Almost surely, 234878848172 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 34878848172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48594067200).

34878848172 is an abundant number, since it is smaller than the sum of its proper divisors (62309286228).

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

34878848172 is a wasteful number, since it uses less digits than its factorization.

34878848172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4697 (or 4638 counting only the distinct ones).

The product of its digits is 19267584, while the sum is 60.

The spelling of 34878848172 in words is "thirty-four billion, eight hundred seventy-eight million, eight hundred forty-eight thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 49 84 86 98 129 147 172 196 258 294 301 343 516 588 602 686 903 1029 1204 1372 1806 1849 2058 2107 3612 3698 4116 4214 4583 5547 6321 7396 8428 9166 11094 12642 12943 13749 14749 18332 22188 25284 25886 27498 29498 32081 38829 44247 51772 54996 58996 64162 77658 88494 90601 96243 128324 155316 176988 181202 192486 197069 224567 271803 362404 384972 394138 449134 543606 591207 634207 673701 788276 898268 1087212 1182414 1268414 1347402 1379483 1571969 1902621 2364828 2536828 2694804 2758966 3143938 3805242 4138449 4715907 5517932 6287876 7610484 8276898 8473967 9431814 9656381 16553796 16947934 18863628 19312762 25421901 28969143 33895868 38625524 50843802 57938286 59317769 67594667 101687604 115876572 118635538 135189334 177953307 202784001 237271076 270378668 355906614 405568002 415224383 711813228 811136004 830448766 1245673149 1660897532 2491346298 2906570681 4982692596 5813141362 8719712043 11626282724 17439424086 34878848172