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83047723206 = 23712
BaseRepresentation
bin100110101011000000…
…1111011000011000110
321221100201221110021020
41031112001323003012
52330040204120311
6102052424532010
76000000000000
oct1152601730306
9257321843236
1083047723206
1132247302698
1214118621006
137aa6688326
14403b845370
152260d3cc06
hex135607b0c6

83047723206 has 52 divisors (see below), whose sum is σ = 193778020812. Its totient is φ = 23727920916.

The previous prime is 83047723201. The next prime is 83047723267. The reversal of 83047723206 is 60232774038.

It is an ABA number since it can be written as A⋅BA, here for A=6, B=49.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83047723201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 25 ways as a sum of consecutive naturals, for example, 11863960455 + ... + 11863960461.

Almost surely, 283047723206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83047723206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96889010406).

83047723206 is an abundant number, since it is smaller than the sum of its proper divisors (110730297606).

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

83047723206 is an frugal number, since it uses more digits than its factorization.

83047723206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

83047723206 divided by its sum of digits (42) gives a 11-th power (1977326743 = 711).

The spelling of 83047723206 in words is "eighty-three billion, forty-seven million, seven hundred twenty-three thousand, two hundred six".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 343 686 1029 2058 2401 4802 7203 14406 16807 33614 50421 100842 117649 235298 352947 705894 823543 1647086 2470629 4941258 5764801 11529602 17294403 34588806 40353607 80707214 121060821 242121642 282475249 564950498 847425747 1694851494 1977326743 3954653486 5931980229 11863960458 13841287201 27682574402 41523861603 83047723206