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107829686496 = 2537160460843
BaseRepresentation
bin110010001101100100…
…1100111000011100000
3101022022211120121221110
41210123021213003200
53231313344431441
6121311500223320
710535056132560
oct1443311470340
9338284517843
10107829686496
1141804057494
1218a93b3ab40
13a22599092c
14530cc72da0
152c117e1b16
hex191b2670e0

107829686496 has 48 divisors (see below), whose sum is σ = 323489061504. Its totient is φ = 30808481664.

The previous prime is 107829686491. The next prime is 107829686501. The reversal of 107829686496 is 694686928701.

It is an interprime number because it is at equal distance from previous prime (107829686491) and next prime (107829686501).

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 (107829686491) 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, 80229750 + ... + 80231093.

It is an arithmetic number, because the mean of its divisors is an integer number (6739355448).

Almost surely, 2107829686496 is an apocalyptic number.

107829686496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

107829686496 is an abundant number, since it is smaller than the sum of its proper divisors (215659375008).

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

107829686496 is a wasteful number, since it uses less digits than its factorization.

107829686496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160460863 (or 160460855 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 66.

The spelling of 107829686496 in words is "one hundred seven billion, eight hundred twenty-nine million, six hundred eighty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 160460843 320921686 481382529 641843372 962765058 1123225901 1283686744 1925530116 2246451802 2567373488 3369677703 3851060232 4492903604 5134746976 6739355406 7702120464 8985807208 13478710812 15404240928 17971614416 26957421624 35943228832 53914843248 107829686496