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81593145118360 = 23553277709195971
BaseRepresentation
bin10010100011010101100010…
…011011100100111010011000
3101200220020011120110102210001
4102203111202123210322120
541143310230122241420
6445311212353302344
723120624125153621
oct2243254233447230
9350806146412701
1081593145118360
1123aa8505321597
12919936b2649b4
13366b27b862275
1416211b4adca48
1596765931bb0a
hex4a35626e4e98

81593145118360 has 128 divisors (see below), whose sum is σ = 187989433329600. Its totient is φ = 31860695992320.

The previous prime is 81593145118301. The next prime is 81593145118369. The reversal of 81593145118360 is 6381154139518.

It is a super-4 number, since 4×815931451183604 (a number of 57 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81593145118369) 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, 416255175 + ... + 416451145.

Almost surely, 281593145118360 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 81593145118360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93994716664800).

81593145118360 is an abundant number, since it is smaller than the sum of its proper divisors (106396288211240).

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

81593145118360 is a wasteful number, since it uses less digits than its factorization.

81593145118360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197021 (or 197017 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 55.

The spelling of 81593145118360 in words is "eighty-one trillion, five hundred ninety-three billion, one hundred forty-five million, one hundred eighteen thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 277 424 530 554 709 1060 1108 1385 1418 2120 2216 2770 2836 3545 5540 5672 7090 11080 14180 14681 28360 29362 37577 58724 73405 75154 117448 146810 150308 187885 195971 196393 293620 300616 375770 391942 392786 587240 751540 783884 785572 979855 981965 1503080 1567768 1571144 1959710 1963930 3919420 3927860 7838840 7855720 10386463 10408829 20772926 20817658 41545852 41635316 51932315 52044145 54283967 83091704 83270632 103864630 104088290 108567934 138943439 207729260 208176580 217135868 271419835 277886878 415458520 416353160 434271736 542839670 555773756 694717195 1085679340 1111547512 1389434390 2171358680 2778868780 2877050251 5557737560 5754100502 7364002267 11508201004 14385251255 14728004534 23016402008 28770502510 29456009068 36820011335 38487332603 57541005020 58912018136 73640022670 76974665206 115082010040 147280045340 153949330412 192436663015 294560090680 307898660824 384873326030 769746652060 1539493304120 2039828627959 4079657255918 8159314511836 10199143139795 16318629023672 20398286279590 40796572559180 81593145118360