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34051212768 = 253463766091
BaseRepresentation
bin11111101101100111…
…000100010111100000
310020220002100211112110
4133231213010113200
51024214102302033
623350511355320
72313551350536
oct375547042740
9106802324473
1034051212768
1113494027161
126723822b40
1332987a7c11
1419104d0156
15d44618363
hex7ed9c45e0

34051212768 has 48 divisors (see below), whose sum is σ = 89577605376. Its totient is φ = 11325874560.

The previous prime is 34051212763. The next prime is 34051212787. The reversal of 34051212768 is 86721215043.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34051212763) by changing a digit.

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, 338598 + ... + 427493.

It is an arithmetic number, because the mean of its divisors is an integer number (1866200112).

Almost surely, 234051212768 is an apocalyptic number.

It is an amenable number.

34051212768 is an abundant number, since it is smaller than the sum of its proper divisors (55526392608).

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

34051212768 is a wasteful number, since it uses less digits than its factorization.

34051212768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766567 (or 766559 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 34051212768 in words is "thirty-four billion, fifty-one million, two hundred twelve thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 463 926 1389 1852 2778 3704 5556 7408 11112 14816 22224 44448 766091 1532182 2298273 3064364 4596546 6128728 9193092 12257456 18386184 24514912 36772368 73544736 354700133 709400266 1064100399 1418800532 2128200798 2837601064 4256401596 5675202128 8512803192 11350404256 17025606384 34051212768