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34828482843 = 33711291493877
BaseRepresentation
bin100000011011111100…
…000111100100011011
310022220020221020122000
4200123330013210123
51032312042422333
623555555132043
72342040135210
oct403374074433
9108806836560
1034828482843
1113852852720
1268bbba4023
13339082cc3b
14198581db07
15d8c9a0713
hex81bf0791b

34828482843 has 128 divisors (see below), whose sum is σ = 67011840000. Its totient is φ = 17347115520.

The previous prime is 34828482841. The next prime is 34828482853.

34828482843 is a `hidden beast` number, since 3 + 4 + 82 + 8 + 482 + 84 + 3 = 666.

34828482843 is nontrivially palindromic in base 10.

34828482843 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34828482843 - 21 = 34828482841 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34828482843.

It is not an unprimeable number, because it can be changed into a prime (34828482841) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8981421 + ... + 8985297.

It is an arithmetic number, because the mean of its divisors is an integer number (523530000).

Almost surely, 234828482843 is an apocalyptic number.

34828482843 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34828482843 is a deficient number, since it is larger than the sum of its proper divisors (32183357157).

34828482843 is a wasteful number, since it uses less digits than its factorization.

34828482843 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4082 (or 4076 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 54.

The spelling of 34828482843 in words is "thirty-four billion, eight hundred twenty-eight million, four hundred eighty-two thousand, eight hundred forty-three".

Divisors: 1 3 7 9 11 21 27 29 33 63 77 87 99 149 189 203 231 261 297 319 447 609 693 783 957 1043 1341 1639 1827 2079 2233 2871 3129 3877 4023 4321 4917 5481 6699 8613 9387 11473 11631 12963 14751 20097 27139 28161 30247 34419 34893 38889 42647 44253 47531 60291 81417 90741 103257 104679 112433 116667 127941 142593 244251 272223 298529 309771 332717 337299 383823 427779 577673 732753 787031 816669 895587 998151 1011897 1151469 1236763 1283337 1733019 2361093 2686761 2994453 3035691 3710289 4043711 5199057 6354403 7083279 8060283 8657341 8983359 11130867 12131133 15597171 16752517 19063209 21249837 25972023 33392601 36393399 44480821 50257551 57189627 77916069 109180197 117267619 133442463 150772653 171568881 184277687 233748207 351802857 400327389 452317959 552833061 1055408571 1200982167 1289943809 1658499183 3166225713 3869831427 4975497549 11609494281 34828482843