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34993966848 = 283291571209
BaseRepresentation
bin100000100101110011…
…011000111100000000
310100022210022201000020
4200211303120330000
51033131423414343
624024230053440
72346116544651
oct404563307400
9110283281006
1034993966848
1113928200265
1269474aa280
1333b8bc0879
14199d7b9528
15d9c28cb83
hex825cd8f00

34993966848 has 72 divisors (see below), whose sum is σ = 96346597200. Its totient is φ = 11262418944.

The previous prime is 34993966841. The next prime is 34993966849. The reversal of 34993966848 is 84866939943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34993966841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 763333 + ... + 807876.

Almost surely, 234993966848 is an apocalyptic number.

It is an amenable number.

34993966848 is an abundant number, since it is smaller than the sum of its proper divisors (61352630352).

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

34993966848 is a wasteful number, since it uses less digits than its factorization.

34993966848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571257 (or 1571243 counting only the distinct ones).

The product of its digits is 241864704, while the sum is 69.

The spelling of 34993966848 in words is "thirty-four billion, nine hundred ninety-three million, nine hundred sixty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 696 768 928 1392 1856 2784 3712 5568 7424 11136 22272 1571209 3142418 4713627 6284836 9427254 12569672 18854508 25139344 37709016 45565061 50278688 75418032 91130122 100557376 136695183 150836064 182260244 201114752 273390366 301672128 364520488 402229504 546780732 603344256 729040976 1093561464 1206688512 1458081952 2187122928 2916163904 4374245856 5832327808 8748491712 11664655616 17496983424 34993966848