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34128708504 = 233111917938011
BaseRepresentation
bin11111110010001110…
…101100001110011000
310021002111012000200220
4133302032230032120
51024343422133004
623402320400040
72315512143612
oct376216541630
9107074160626
1034128708504
1113523847920
126745776020
1332ab86c497
14191a903db2
15d4b324dd9
hex7f23ac398

34128708504 has 128 divisors (see below), whose sum is σ = 98527104000. Its totient is φ = 9742723200.

The previous prime is 34128708473. The next prime is 34128708517. The reversal of 34128708504 is 40580782143.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 878859 + ... + 916869.

It is an arithmetic number, because the mean of its divisors is an integer number (769743000).

Almost surely, 234128708504 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 34128708504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49263552000).

34128708504 is an abundant number, since it is smaller than the sum of its proper divisors (64398395496).

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

34128708504 is a wasteful number, since it uses less digits than its factorization.

34128708504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38229 (or 38225 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 34128708504 in words is "thirty-four billion, one hundred twenty-eight million, seven hundred eight thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 179 209 228 264 358 418 456 537 627 716 836 1074 1254 1432 1672 1969 2148 2508 3401 3938 4296 5016 5907 6802 7876 10203 11814 13604 15752 20406 23628 27208 37411 38011 40812 47256 74822 76022 81624 112233 114033 149644 152044 224466 228066 299288 304088 418121 448932 456132 722209 836242 897864 912264 1254363 1444418 1672484 2166627 2508726 2888836 3344968 4333254 5017452 5777672 6803969 7944299 8666508 10034904 13607938 15888598 17333016 20411907 23832897 27215876 31777196 40823814 47665794 54431752 63554392 74843659 81647628 95331588 129275411 149687318 163295256 190663176 224530977 258550822 299374636 387826233 449061954 517101644 598749272 775652466 898123908 1034203288 1422029521 1551304932 1796247816 2844059042 3102609864 4266088563 5688118084 8532177126 11376236168 17064354252 34128708504