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20773205135540 = 225111323315798193
BaseRepresentation
bin1001011100100101000111…
…00000110101000010110100
32201112220021101100002122222
410232102203200311002310
510210322011003314130
6112103024555341512
74242546250154354
oct456224340650264
981486241302588
1020773205135540
116689959819550
1223b5ba0451898
13b78b9bc14510
1451b5ddadcb64
1526055ab13ce5
hex12e4a38350b4

20773205135540 has 96 divisors (see below), whose sum is σ = 53478529364736. Its totient is φ = 6669657815040.

The previous prime is 20773205135513. The next prime is 20773205135567. The reversal of 20773205135540 is 4553150237702.

It is an interprime number because it is at equal distance from previous prime (20773205135513) and next prime (20773205135567).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 20773205135491 and 20773205135500.

It is a congruent number.

It is an unprimeable number.

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, 157833317 + ... + 157964876.

It is an arithmetic number, because the mean of its divisors is an integer number (557068014216).

Almost surely, 220773205135540 is an apocalyptic number.

20773205135540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20773205135540 is an abundant number, since it is smaller than the sum of its proper divisors (32705324229196).

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

20773205135540 is a wasteful number, since it uses less digits than its factorization.

20773205135540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315798249 (or 315798247 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 44.

The spelling of 20773205135540 in words is "twenty trillion, seven hundred seventy-three billion, two hundred five million, one hundred thirty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 23 26 44 46 52 55 65 92 110 115 130 143 220 230 253 260 286 299 460 506 572 598 715 1012 1196 1265 1430 1495 2530 2860 2990 3289 5060 5980 6578 13156 16445 32890 65780 315798193 631596386 1263192772 1578990965 3157981930 3473780123 4105376509 6315963860 6947560246 7263358439 8210753018 13895120492 14526716878 16421506036 17368900615 20526882545 29053433756 34737801230 36316792195 41053765090 45159141599 69475602460 72633584390 79896942829 82107530180 90318283198 94423659707 145267168780 159793885658 180636566396 188847319414 225795707995 319587771316 377694638828 399484714145 451591415990 472118298535 798969428290 903182831980 944236597070 1038660256777 1597938856580 1888473194140 2077320513554 4154641027108 5193301283885 10386602567770 20773205135540