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81630162208 = 2579711333247
BaseRepresentation
bin100110000000110001…
…0010110110100100000
321210200221112220011001
41030001202112310200
52314134310142313
6101300025401344
75616604634050
oct1140142266440
9253627486131
1081630162208
113168a10a081
12139a1939254
13790ba9b63a
143d45481560
1521cb679add
hex1301896d20

81630162208 has 96 divisors (see below), whose sum is σ = 187209114624. Its totient is φ = 34316255232.

The previous prime is 81630162203. The next prime is 81630162221. The reversal of 81630162208 is 80226103618.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (81630162203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2438641 + ... + 2471887.

It is an arithmetic number, because the mean of its divisors is an integer number (1950094944).

Almost surely, 281630162208 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 81630162208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93604557312).

81630162208 is an abundant number, since it is smaller than the sum of its proper divisors (105578952416).

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

81630162208 is a wasteful number, since it uses less digits than its factorization.

81630162208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33474 (or 33466 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 81630162208 in words is "eighty-one billion, six hundred thirty million, one hundred sixty-two thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 97 112 113 194 224 226 388 452 679 776 791 904 1358 1552 1582 1808 2716 3104 3164 3616 5432 6328 10864 10961 12656 21728 21922 25312 33247 43844 66494 76727 87688 132988 153454 175376 232729 265976 306908 350752 465458 531952 613816 930916 1063904 1227632 1861832 2455264 3224959 3723664 3756911 6449918 7447328 7513822 12899836 15027644 22574713 25799672 26298377 30055288 45149426 51599344 52596754 60110576 90298852 103198688 105193508 120221152 180597704 210387016 361195408 364420367 420774032 722390816 728840734 841548064 1457681468 2550942569 2915362936 5101885138 5830725872 10203770276 11661451744 20407540552 40815081104 81630162208