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34135152128 = 29711865847
BaseRepresentation
bin11111110010100111…
…010001011000000000
310021002221022101200122
4133302213101120000
51024402044332003
623403110435412
72315621001650
oct376247213000
9107087271618
1034135152128
1113527449030
126747962b68
1332accb738c
14191b700360
15d4bb99238
hex7f29d1600

34135152128 has 80 divisors (see below), whose sum is σ = 85033200384. Its totient is φ = 13299394560.

The previous prime is 34135152101. The next prime is 34135152131. The reversal of 34135152128 is 82125153143.

It is a super-2 number, since 2×341351521282 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 393500 + ... + 472347.

Almost surely, 234135152128 is an apocalyptic number.

It is an amenable number.

34135152128 is an abundant number, since it is smaller than the sum of its proper divisors (50898048256).

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

34135152128 is an equidigital number, since it uses as much as digits as its factorization.

34135152128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865883 (or 865867 counting only the distinct ones).

The product of its digits is 28800, while the sum is 35.

The spelling of 34135152128 in words is "thirty-four billion, one hundred thirty-five million, one hundred fifty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 512 616 704 896 1232 1408 1792 2464 2816 3584 4928 5632 9856 19712 39424 865847 1731694 3463388 6060929 6926776 9524317 12121858 13853552 19048634 24243716 27707104 38097268 48487432 55414208 66670219 76194536 96974864 110828416 133340438 152389072 193949728 221656832 266680876 304778144 387899456 443313664 533361752 609556288 775798912 1066723504 1219112576 1551597824 2133447008 2438225152 3103195648 4266894016 4876450304 8533788032 17067576064 34135152128