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34069876608 = 273279731721
BaseRepresentation
bin11111101110101110…
…010000111110000000
310020221101111001111210
4133232232100332000
51024233342022413
623352415410120
72314166113215
oct375656207600
9106841431453
1034069876608
11134a3614619
126729b23940
13329c611101
141912b8bb0c
15d460a33c3
hex7eeb90f80

34069876608 has 64 divisors (see below), whose sum is σ = 90533319120. Its totient is φ = 11352207360.

The previous prime is 34069876597. The next prime is 34069876639. The reversal of 34069876608 is 80667896043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 1058188 + ... + 1089908.

Almost surely, 234069876608 is an apocalyptic number.

It is an amenable number.

34069876608 is an abundant number, since it is smaller than the sum of its proper divisors (56463442512).

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

34069876608 is a wasteful number, since it uses less digits than its factorization.

34069876608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34535 (or 34523 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The spelling of 34069876608 in words is "thirty-four billion, sixty-nine million, eight hundred seventy-six thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 2797 5594 8391 11188 16782 22376 31721 33564 44752 63442 67128 89504 95163 126884 134256 179008 190326 253768 268512 358016 380652 507536 537024 761304 1015072 1074048 1522608 2030144 3045216 4060288 6090432 12180864 88723637 177447274 266170911 354894548 532341822 709789096 1064683644 1419578192 2129367288 2839156384 4258734576 5678312768 8517469152 11356625536 17034938304 34069876608