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82636272480 = 2535318154121
BaseRepresentation
bin100110011110110000…
…0010111001101100000
321220022001201120222110
41030331200113031200
52323214341204410
6101543530035320
75653542504126
oct1147540271540
9256261646873
1082636272480
1132056026673
1214022878b40
137a3c367a68
143ddcd3d916
152239b66720
hex133d817360

82636272480 has 96 divisors (see below), whose sum is σ = 260390900448. Its totient is φ = 22029004800.

The previous prime is 82636272463. The next prime is 82636272547. The reversal of 82636272480 is 8427263628.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1499820 + ... + 1553940.

It is an arithmetic number, because the mean of its divisors is an integer number (2712405213).

Almost surely, 282636272480 is an apocalyptic number.

82636272480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82636272480 is an abundant number, since it is smaller than the sum of its proper divisors (177754627968).

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

82636272480 is a wasteful number, since it uses less digits than its factorization.

82636272480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57320 (or 57312 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 82636272480 in words is "eighty-two billion, six hundred thirty-six million, two hundred seventy-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 3181 6362 9543 12724 15905 19086 25448 31810 38172 47715 50896 54121 63620 76344 95430 101792 108242 127240 152688 162363 190860 216484 254480 270605 305376 324726 381720 432968 508960 541210 649452 763440 811815 865936 1082420 1298904 1526880 1623630 1731872 2164840 2597808 3247260 4329680 5195616 6494520 8659360 12989040 25978080 172158901 344317802 516476703 688635604 860794505 1032953406 1377271208 1721589010 2065906812 2582383515 2754542416 3443178020 4131813624 5164767030 5509084832 6886356040 8263627248 10329534060 13772712080 16527254496 20659068120 27545424160 41318136240 82636272480