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82436817072620 = 22523797821273881
BaseRepresentation
bin10010101111100111010001…
…001100101011000111101100
3101210212212211112002022120002
4102233213101030223013230
541301121100132310440
6451154541223243432
723235602114354513
oct2257472114530754
9353785745068502
1082436817072620
11242a329212896a
1292b49832a9578
1336cc9b254549a
14164dd6b19167a
1597e58666c115
hex4af9d132b1ec

82436817072620 has 96 divisors (see below), whose sum is σ = 181091777521536. Its totient is φ = 31462983833600.

The previous prime is 82436817072527. The next prime is 82436817072629. The reversal of 82436817072620 is 2627071863428.

It is a super-2 number, since 2×824368170726202 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82436817072629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300858080 + ... + 301131960.

It is an arithmetic number, because the mean of its divisors is an integer number (1886372682516).

Almost surely, 282436817072620 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 82436817072620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90545888760768).

82436817072620 is an abundant number, since it is smaller than the sum of its proper divisors (98654960448916).

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

82436817072620 is a wasteful number, since it uses less digits than its factorization.

82436817072620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275531 (or 275529 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 56.

The spelling of 82436817072620 in words is "eighty-two trillion, four hundred thirty-six billion, eight hundred seventeen million, seventy-two thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 797 821 1594 1642 3188 3284 3985 4105 7970 8210 15940 16420 18331 18883 36662 37766 73324 75532 91655 94415 183310 188830 273881 366620 377660 547762 654337 1095524 1308674 1369405 2617348 2738810 3271685 5477620 6299263 6543370 12598526 13086740 15049751 25197052 30099502 31496315 60199004 62992630 75248755 125985260 150497510 218283157 224856301 300995020 436566314 449712602 873132628 899425204 1091415785 1124281505 2182831570 2248563010 4365663140 4497126020 5020512611 5171694923 10041025222 10343389846 20082050444 20686779692 25102563055 25858474615 50205126110 51716949230 100410252220 103433898460 179210471897 358420943794 716841887588 896052359485 1792104718970 3584209437940 4121840853631 8243681707262 16487363414524 20609204268155 41218408536310 82436817072620