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2082730876488 = 2332192471704887
BaseRepresentation
bin11110010011101100011…
…011110001111001001000
321101002220002120211020200
4132103230123301321020
5233110413101021423
64232443210452200
7303321004231503
oct36235433617110
97332802524220
102082730876488
11733310312889
12297792434060
131215293a3822
1472b3a1b813a
153929b0ced43
hex1e4ec6f1e48

2082730876488 has 144 divisors (see below), whose sum is σ = 6079903390080. Its totient is φ = 643710397248.

The previous prime is 2082730876481. The next prime is 2082730876531. The reversal of 2082730876488 is 8846780372802.

2082730876488 is a `hidden beast` number, since 2 + 0 + 8 + 2 + 73 + 0 + 87 + 6 + 488 = 666.

It is a super-2 number, since 2×20827308764882 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2082730876481) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 369181 + ... + 2074067.

It is an arithmetic number, because the mean of its divisors is an integer number (42221551320).

Almost surely, 22082730876488 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 2082730876488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3039951695040).

2082730876488 is an abundant number, since it is smaller than the sum of its proper divisors (3997172513592).

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

2082730876488 is a wasteful number, since it uses less digits than its factorization.

2082730876488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704984 (or 1704958 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 63.

The spelling of 2082730876488 in words is "two trillion, eighty-two billion, seven hundred thirty million, eight hundred seventy-six thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 47 57 72 76 94 114 141 152 171 188 228 282 342 361 376 423 456 564 684 722 846 893 1083 1128 1368 1444 1692 1786 2166 2679 2888 3249 3384 3572 4332 5358 6498 7144 8037 8664 10716 12996 16074 16967 21432 25992 32148 33934 50901 64296 67868 101802 135736 152703 203604 305406 407208 610812 1221624 1704887 3409774 5114661 6819548 10229322 13639096 15343983 20458644 30687966 32392853 40917288 61375932 64785706 80129689 97178559 122751864 129571412 160259378 194357118 240389067 259142824 291535677 320518756 388714236 480778134 583071354 615464207 641037512 721167201 777428472 961556268 1166142708 1230928414 1442334402 1522464091 1846392621 1923112536 2332285416 2461856828 2884668804 3044928182 3692785242 4567392273 4923713656 5539177863 5769337608 6089856364 7385570484 9134784546 11078355726 12179712728 13702176819 14771140968 18269569092 22156711452 27404353638 28926817729 36539138184 44313422904 54808707276 57853635458 86780453187 109617414552 115707270916 173560906374 231414541832 260341359561 347121812748 520682719122 694243625496 1041365438244 2082730876488