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83997828036 = 22331723186813
BaseRepresentation
bin100111000111010101…
…0010010001111000100
322000210221201210002000
41032032222102033010
52334011420444121
6102331004545300
76032354520633
oct1161652221704
9260727653060
1083997828036
11326946474a1
1214342852230
137bc8475a35
1440cbac551a
1522b9465526
hex138ea923c4

83997828036 has 144 divisors (see below), whose sum is σ = 238801006080. Its totient is φ = 25501893120.

The previous prime is 83997828029. The next prime is 83997828073. The reversal of 83997828036 is 63082879938.

It is a super-2 number, since 2×839978280362 (a number of 23 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 924166 + ... + 1010978.

It is an arithmetic number, because the mean of its divisors is an integer number (1658340320).

Almost surely, 283997828036 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 83997828036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119400503040).

83997828036 is an abundant number, since it is smaller than the sum of its proper divisors (154803178044).

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

83997828036 is a wasteful number, since it uses less digits than its factorization.

83997828036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86891 (or 86866 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 83997828036 in words is "eighty-three billion, nine hundred ninety-seven million, eight hundred twenty-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 31 34 36 51 54 62 68 93 102 108 124 153 186 204 279 289 306 372 459 527 558 578 612 837 867 918 1054 1116 1156 1581 1674 1734 1836 2108 2601 3162 3348 3468 4743 5202 6324 7803 8959 9486 10404 14229 15606 17918 18972 26877 28458 31212 35836 53754 56916 80631 86813 107508 161262 173626 241893 260439 322524 347252 483786 520878 781317 967572 1041756 1475821 1562634 2343951 2691203 2951642 3125268 4427463 4687902 5382406 5903284 8073609 8854926 9375804 10764812 13282389 16147218 17709852 24220827 25088957 26564778 32294436 39847167 45750451 48441654 50177914 53129556 72662481 75266871 79694334 91500902 96883308 100355828 137251353 145324962 150533742 159388668 183001804 225800613 274502706 290649924 301067484 411754059 451601226 549005412 677401839 777757667 823508118 903202452 1235262177 1354803678 1555515334 1647016236 2333273001 2470524354 2709607356 3111030668 4666546002 4941048708 6999819003 9333092004 13999638006 20999457009 27999276012 41998914018 83997828036