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82013951950 = 25271223191599
BaseRepresentation
bin100110001100001101…
…0011001011111001110
321211200200201102200221
41030120122121133032
52320431032430300
6101402055341554
75632245042430
oct1143032313716
9254620642627
1082013951950
1131866812a87
1213a8a3818ba
137970455768
143d80426650
1522001da31a
hex13186997ce

82013951950 has 48 divisors (see below), whose sum is σ = 174481689600. Its totient is φ = 28095930720.

The previous prime is 82013951933. The next prime is 82013951951. The reversal of 82013951950 is 5915931028.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 82013951897 and 82013951906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82013951951) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 332251 + ... + 523849.

It is an arithmetic number, because the mean of its divisors is an integer number (3635035200).

Almost surely, 282013951950 is an apocalyptic number.

82013951950 is an abundant number, since it is smaller than the sum of its proper divisors (92467737650).

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

82013951950 is a wasteful number, since it uses less digits than its factorization.

82013951950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192841 (or 192836 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 43.

The spelling of 82013951950 in words is "eighty-two billion, thirteen million, nine hundred fifty-one thousand, nine hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 50 70 175 350 1223 2446 6115 8561 12230 17122 30575 42805 61150 85610 191599 214025 383198 428050 957995 1341193 1915990 2682386 4789975 6705965 9579950 13411930 33529825 67059650 234325577 468651154 1171627885 1640279039 2343255770 3280558078 5858139425 8201395195 11716278850 16402790390 41006975975 82013951950