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6141076688 = 243113194513
BaseRepresentation
bin1011011100000100…
…10110010011010000
3120211222112000111202
411232002112103100
5100034103423223
62453212330332
7305116201445
oct55602262320
916758460452
106141076688
11267152889a
1212347739a8
1376b3921b6
144238539cc
1525e203428
hex16e0964d0

6141076688 has 40 divisors (see below), whose sum is σ = 12376041216. Its totient is φ = 2948774400.

The previous prime is 6141076673. The next prime is 6141076709. The reversal of 6141076688 is 8866701416.

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, 17720 + ... + 112232.

Almost surely, 26141076688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6141076688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6188020608).

6141076688 is an abundant number, since it is smaller than the sum of its proper divisors (6234964528).

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

6141076688 is a wasteful number, since it uses less digits than its factorization.

6141076688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94683 (or 94677 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 47.

The square root of 6141076688 is about 78365.0220953201. The cubic root of 6141076688 is about 1831.2522596345.

The spelling of 6141076688 in words is "six billion, one hundred forty-one million, seventy-six thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 31 62 124 131 248 262 496 524 1048 2096 4061 8122 16244 32488 64976 94513 189026 378052 756104 1512208 2929903 5859806 11719612 12381203 23439224 24762406 46878448 49524812 99049624 198099248 383817293 767634586 1535269172 3070538344 6141076688