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82375434750 = 2353768322973
BaseRepresentation
bin100110010110111110…
…1010110000111111110
321212121212220122212210
41030231331112013332
52322201102403000
6101502011241250
75644224433230
oct1145575260776
9255555818783
1082375434750
1131a318703a4
1213b6b449226
1379ca2cc3cb
143db6442250
152221ce1350
hex132df561fe

82375434750 has 128 divisors (see below), whose sum is σ = 235336098816. Its totient is φ = 18800284800.

The previous prime is 82375434721. The next prime is 82375434769. The reversal of 82375434750 is 5743457328.

It is a self number, because there is not a number n which added to its sum of digits gives 82375434750.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3574264 + ... + 3597236.

It is an arithmetic number, because the mean of its divisors is an integer number (1838563272).

Almost surely, 282375434750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82375434750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117668049408).

82375434750 is an abundant number, since it is smaller than the sum of its proper divisors (152960664066).

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

82375434750 is a wasteful number, since it uses less digits than its factorization.

82375434750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23683 (or 23673 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 48.

The spelling of 82375434750 in words is "eighty-two billion, three hundred seventy-five million, four hundred thirty-four thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 125 150 175 210 250 350 375 525 683 750 875 1050 1366 1750 2049 2625 3415 4098 4781 5250 6830 9562 10245 14343 17075 20490 22973 23905 28686 34150 45946 47810 51225 68919 71715 85375 102450 114865 119525 137838 143430 160811 170750 229730 239050 256125 321622 344595 358575 482433 512250 574325 597625 689190 717150 804055 964866 1148650 1195250 1608110 1722975 1792875 2412165 2871625 3445950 3585750 4020275 4824330 5743250 8040550 8614875 12060825 15690559 17229750 20101375 24121650 31381118 40202750 47071677 60304125 78452795 94143354 109833913 120608250 156905590 219667826 235358385 329501739 392263975 470716770 549169565 659003478 784527950 1098339130 1176791925 1647508695 1961319875 2353583850 2745847825 3295017390 3922639750 5491695650 5883959625 8237543475 11767919250 13729239125 16475086950 27458478250 41187717375 82375434750