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81821725500 = 22353311759607
BaseRepresentation
bin100110000110011110…
…1000111001100111100
321211012022000022120210
41030030331013030330
52320032330204000
6101331031312420
75624422122444
oct1141475071474
9254168008523
1081821725500
113177825a449
1213a35b1b710
13793c6907b8
143d62aa9124
1521dd3b9350
hex130cf4733c

81821725500 has 96 divisors (see below), whose sum is σ = 245950967808. Its totient is φ = 21115272000.

The previous prime is 81821725487. The next prime is 81821725501. The reversal of 81821725500 is 552712818.

It is a super-3 number, since 3×818217255003 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81821725501) 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 31 ways as a sum of consecutive naturals, for example, 833304 + ... + 926303.

It is an arithmetic number, because the mean of its divisors is an integer number (2561989248).

Almost surely, 281821725500 is an apocalyptic number.

It is an amenable number.

81821725500 is an abundant number, since it is smaller than the sum of its proper divisors (164129242308).

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

81821725500 is a wasteful number, since it uses less digits than its factorization.

81821725500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759660 (or 1759648 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 39.

The spelling of 81821725500 in words is "eighty-one billion, eight hundred twenty-one million, seven hundred twenty-five thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 125 150 155 186 250 300 310 372 375 465 500 620 750 775 930 1500 1550 1860 2325 3100 3875 4650 7750 9300 11625 15500 23250 46500 1759607 3519214 5278821 7038428 8798035 10557642 17596070 21115284 26394105 35192140 43990175 52788210 54547817 87980350 105576420 109095634 131970525 163643451 175960700 218191268 219950875 263941050 272739085 327286902 439901750 527882100 545478170 654573804 659852625 818217255 879803500 1090956340 1319705250 1363695425 1636434510 2639410500 2727390850 3272869020 4091086275 5454781700 6818477125 8182172550 13636954250 16364345100 20455431375 27273908500 40910862750 81821725500