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81743625700 = 225211179415153
BaseRepresentation
bin100110000100001001…
…1001011110111100100
321210222212001102210121
41030020103023313210
52314402332010300
6101315201331324
75622453232312
oct1141023136744
9253885042717
1081743625700
1131738166960
1213a13936b44
1379294472b9
143d565790b2
1521d65dd81a
hex13084cbde4

81743625700 has 72 divisors (see below), whose sum is σ = 194590982880. Its totient is φ = 29558822400.

The previous prime is 81743625553. The next prime is 81743625701. The reversal of 81743625700 is 752634718.

It is not an unprimeable number, because it can be changed into a prime (81743625701) 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 23 ways as a sum of consecutive naturals, for example, 10677 + ... + 404476.

It is an arithmetic number, because the mean of its divisors is an integer number (2702652540).

Almost surely, 281743625700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81743625700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97295491440).

81743625700 is an abundant number, since it is smaller than the sum of its proper divisors (112847357180).

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

81743625700 is a wasteful number, since it uses less digits than its factorization.

81743625700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415357 (or 415350 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

The spelling of 81743625700 in words is "eighty-one billion, seven hundred forty-three million, six hundred twenty-five thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 179 220 275 358 550 716 895 1100 1790 1969 3580 3938 4475 7876 8950 9845 17900 19690 39380 49225 98450 196900 415153 830306 1660612 2075765 4151530 4566683 8303060 9133366 10378825 18266732 20757650 22833415 41515300 45666830 74312387 91333660 114167075 148624774 228334150 297249548 371561935 456668300 743123870 817436257 1486247740 1634872514 1857809675 3269745028 3715619350 4087181285 7431238700 8174362570 16348725140 20435906425 40871812850 81743625700