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82861394424 = 233174716012699
BaseRepresentation
bin100110100101011101…
…1001000100111111000
321220212202022222020020
41031022323020213320
52324200004110144
6102022131130440
75662245142254
oct1151273104770
9256782288206
1082861394424
1132161108066
1214086143a20
137a76ba9903
144020bc1264
15224e7d4419
hex134aec89f8

82861394424 has 128 divisors (see below), whose sum is σ = 224228736000. Its totient is φ = 25417318400.

The previous prime is 82861394423. The next prime is 82861394443. The reversal of 82861394424 is 42449316828.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82861394423) 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, 30699427 + ... + 30702125.

It is an arithmetic number, because the mean of its divisors is an integer number (1751787000).

Almost surely, 282861394424 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 82861394424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112114368000).

82861394424 is an abundant number, since it is smaller than the sum of its proper divisors (141367341576).

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

82861394424 is a wasteful number, since it uses less digits than its factorization.

82861394424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4373 (or 4369 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 51.

The spelling of 82861394424 in words is "eighty-two billion, eight hundred sixty-one million, three hundred ninety-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 47 51 68 94 102 136 141 188 204 282 376 408 564 799 1128 1598 1601 2397 2699 3196 3202 4794 4803 5398 6392 6404 8097 9588 9606 10796 12808 16194 19176 19212 21592 27217 32388 38424 45883 54434 64776 75247 81651 91766 108868 126853 137649 150494 163302 183532 217736 225741 253706 275298 300988 326604 367064 380559 451482 507412 550596 601976 653208 761118 902964 1014824 1101192 1279199 1522236 1805928 2156501 2558398 3044472 3837597 4313002 4321099 5116796 6469503 7675194 8626004 8642198 10233592 12939006 12963297 15350388 17252008 17284396 25878012 25926594 30700776 34568792 51756024 51853188 73458683 103706376 146917366 203091653 220376049 293834732 406183306 440752098 587669464 609274959 812366612 881504196 1218549918 1624733224 1763008392 2437099836 3452558101 4874199672 6905116202 10357674303 13810232404 20715348606 27620464808 41430697212 82861394424