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82531014280 = 235111318777687
BaseRepresentation
bin100110011011100111…
…0110101011010001000
321220000201122220212121
41030313032311122020
52323010414424110
6101525250021024
75651124021661
oct1146716653210
9256021586777
1082531014280
1132001673620
1213bb3577774
137a23602ac0
143dccd80368
1522307c3cda
hex13373b5688

82531014280 has 128 divisors (see below), whose sum is σ = 218303527680. Its totient is φ = 27684357120.

The previous prime is 82531014271. The next prime is 82531014281. The reversal of 82531014280 is 8241013528.

It is a happy number.

It is a super-2 number, since 2×825310142802 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82531014281) 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, 10732597 + ... + 10740283.

It is an arithmetic number, because the mean of its divisors is an integer number (1705496310).

Almost surely, 282531014280 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 82531014280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109151763840).

82531014280 is an abundant number, since it is smaller than the sum of its proper divisors (135772513400).

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

82531014280 is a wasteful number, since it uses less digits than its factorization.

82531014280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9599 (or 9595 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The spelling of 82531014280 in words is "eighty-two billion, five hundred thirty-one million, fourteen thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1144 1430 1877 2860 3754 5720 7508 7687 9385 15016 15374 18770 20647 24401 30748 37540 38435 41294 48802 61496 75080 76870 82588 84557 97604 99931 103235 122005 153740 165176 169114 195208 199862 206470 244010 268411 307480 338228 399724 412940 422785 488020 499655 536822 676456 799448 825880 845570 976040 999310 1073644 1099241 1342055 1691140 1998620 2147288 2198482 2684110 3382280 3997240 4396964 5368220 5496205 8793928 10736440 10992410 14428499 21984820 28856998 43969640 57713996 72142495 115427992 144284990 158713489 187570487 288569980 317426978 375140974 577139960 634853956 750281948 793567445 937852435 1269707912 1500563896 1587134890 1875704870 2063275357 3174269780 3751409740 4126550714 6348539560 7502819480 8253101428 10316376785 16506202856 20632753570 41265507140 82531014280