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82345711425540 = 223543121326312401
BaseRepresentation
bin10010101110010010011010…
…111000001101100000000100
3101210120011200012201220202220
4102232102122320031200010
541243123004111104130
6451045033025132340
723226165331215213
oct2256223270154004
9353504605656686
1082345711425540
1124268690395862
12929b19818a0b0
1336c4223646084
1416497a74c507a
1597c0031e1410
hex4ae49ae0d804

82345711425540 has 96 divisors (see below), whose sum is σ = 236124548558976. Its totient is φ = 21430502553600.

The previous prime is 82345711425539. The next prime is 82345711425547. The reversal of 82345711425540 is 4552411754328.

It is not an unprimeable number, because it can be changed into a prime (82345711425547) 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, 10026661 + ... + 16285740.

It is an arithmetic number, because the mean of its divisors is an integer number (2459630714156).

Almost surely, 282345711425540 is an apocalyptic number.

It is an amenable number.

82345711425540 is an abundant number, since it is smaller than the sum of its proper divisors (153778837133436).

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

82345711425540 is a wasteful number, since it uses less digits than its factorization.

82345711425540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26313669 (or 26313667 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 51.

The spelling of 82345711425540 in words is "eighty-two trillion, three hundred forty-five billion, seven hundred eleven million, four hundred twenty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1213 1290 2426 2580 3639 4852 6065 7278 12130 14556 18195 24260 36390 52159 72780 104318 156477 208636 260795 312954 521590 625908 782385 1043180 1564770 3129540 26312401 52624802 78937203 105249604 131562005 157874406 263124010 315748812 394686015 526248020 789372030 1131433243 1578744060 2262866486 3394299729 4525732972 5657166215 6788599458 11314332430 13577198916 16971498645 22628664860 31916942413 33942997290 63833884826 67885994580 95750827239 127667769652 159584712065 191501654478 319169424130 383003308956 478754136195 638338848260 957508272390 1372428523759 1915016544780 2744857047518 4117285571277 5489714095036 6862142618795 8234571142554 13724285237590 16469142285108 20586427856385 27448570475180 41172855712770 82345711425540