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34135152126 = 23194113952541
BaseRepresentation
bin11111110010100111…
…010001010111111110
310021002221022101200120
4133302213101113332
51024402044332001
623403110435410
72315621001645
oct376247212776
9107087271616
1034135152126
1113527449029
126747962b66
1332accb738a
14191b70035c
15d4bb99236
hex7f29d15fe

34135152126 has 64 divisors (see below), whose sum is σ = 74147270400. Its totient is φ = 10440748800.

The previous prime is 34135152101. The next prime is 34135152131. The reversal of 34135152126 is 62125153143.

It is a super-2 number, since 2×341351521262 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 623416 + ... + 675956.

It is an arithmetic number, because the mean of its divisors is an integer number (1158551100).

Almost surely, 234135152126 is an apocalyptic number.

34135152126 is an abundant number, since it is smaller than the sum of its proper divisors (40012118274).

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

34135152126 is a wasteful number, since it uses less digits than its factorization.

34135152126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52745.

The product of its digits is 21600, while the sum is 33.

The spelling of 34135152126 in words is "thirty-four billion, one hundred thirty-five million, one hundred fifty-two thousand, one hundred twenty-six".

Divisors: 1 2 3 6 19 38 41 57 82 114 123 139 246 278 417 779 834 1558 2337 2641 4674 5282 5699 7923 11398 15846 17097 34194 52541 105082 108281 157623 216562 315246 324843 649686 998279 1996558 2154181 2994837 4308362 5989674 6462543 7303199 12925086 14606398 21909597 40929439 43819194 81858878 122788317 138760781 245576634 277521562 299431159 416282343 598862318 832564686 898293477 1796586954 5689192021 11378384042 17067576063 34135152126