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82991196082728 = 233614230314829
BaseRepresentation
bin10010110111101011100100…
…110000110001001000101000
3101212211212210010222222000000
4102313223210300301020220
541334211432144121403
6452301343521343000
723323626130244223
oct2267534460611050
9355755703888000
1082991196082728
112449740668152a
1293842bb797a60
1337400617270cb
14166cb1c5185ba
1598dbd12d47a3
hex4b7ae4c31228

82991196082728 has 56 divisors (see below), whose sum is σ = 233306011637850. Its totient is φ = 27663732025632.

The previous prime is 82991196082643. The next prime is 82991196082741. The reversal of 82991196082728 is 82728069119928.

82991196082728 is a `hidden beast` number, since 8 + 2 + 9 + 9 + 1 + 1 + 9 + 608 + 2 + 7 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 54815928673284 + 28175267409444 = 7403778^2 + 5308038^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 7115151583 + ... + 7115163246.

Almost surely, 282991196082728 is an apocalyptic number.

It is an amenable number.

82991196082728 is an abundant number, since it is smaller than the sum of its proper divisors (150314815555122).

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

82991196082728 is a wasteful number, since it uses less digits than its factorization.

82991196082728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14230314853 (or 14230314834 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 72.

The spelling of 82991196082728 in words is "eighty-two trillion, nine hundred ninety-one billion, one hundred ninety-six million, eighty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 5832 14230314829 28460629658 42690944487 56921259316 85381888974 113842518632 128072833461 170763777948 256145666922 341527555896 384218500383 512291333844 768437000766 1024582667688 1152655501149 1536874001532 2305311002298 3073748003064 3457966503447 4610622004596 6915933006894 9221244009192 10373899510341 13831866013788 20747799020682 27663732027576 41495598041364 82991196082728