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80834935662 = 233131922692671
BaseRepresentation
bin100101101001000100…
…0110011101101101110
321201122112012012102000
41023102020303231232
52311022220420122
6101045101113130
75561110421235
oct1132210635556
9251575165360
1080834935662
1131311239658
12137bb5587a6
1378130ca3a0
143cab9d9b1c
1521819470ac
hex12d2233b6e

80834935662 has 128 divisors (see below), whose sum is σ = 203798784000. Its totient is φ = 23544017280.

The previous prime is 80834935651. The next prime is 80834935673. The reversal of 80834935662 is 26653943808.

It is an interprime number because it is at equal distance from previous prime (80834935651) and next prime (80834935673).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 80834935599 and 80834935608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30262587 + ... + 30265257.

It is an arithmetic number, because the mean of its divisors is an integer number (1592178000).

Almost surely, 280834935662 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80834935662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101899392000).

80834935662 is an abundant number, since it is smaller than the sum of its proper divisors (122963848338).

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

80834935662 is a wasteful number, since it uses less digits than its factorization.

80834935662 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4983 (or 4977 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 80834935662 in words is "eighty billion, eight hundred thirty-four million, nine hundred thirty-five thousand, six hundred sixty-two".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 114 117 171 234 247 342 351 494 513 702 741 1026 1482 2223 2269 2671 4446 4538 5342 6669 6807 8013 13338 13614 16026 20421 24039 29497 34723 40842 43111 48078 50749 58994 61263 69446 72117 86222 88491 101498 104169 122526 129333 144234 152247 176982 208338 258666 265473 304494 312507 387999 456741 530946 560443 625014 659737 775998 796419 913482 937521 1120886 1163997 1319474 1370223 1592838 1681329 1875042 1979211 2327994 2740446 3362658 3958422 5043987 5937633 6060499 10087974 11875266 12120998 15131961 17812899 18181497 30263922 35625798 36362994 54544491 78786487 109088982 115149481 157572974 163633473 230298962 236359461 327266946 345448443 472718922 690896886 709078383 1036345329 1418156766 1496943253 2072690658 2127235149 2993886506 3109035987 4254470298 4490829759 6218071974 8981659518 13472489277 26944978554 40417467831 80834935662