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20685610194560 = 275171901250937
BaseRepresentation
bin1001011010000001111100…
…11100101001011010000000
32201020112011202000001021122
410231000332130221122000
510202403112202211220
6111554501012011412
74233325463354603
oct455007634513200
981215152001248
1020685610194560
116655799755943
1223a1015000b68
13b7084c45c7ac
145172903ba33a
1525d1309ac425
hex12d03e729680

20685610194560 has 64 divisors (see below), whose sum is σ = 52360450832520. Its totient is φ = 7787523833856.

The previous prime is 20685610194559. The next prime is 20685610194581. The reversal of 20685610194560 is 6549101658602.

It can be written as a sum of positive squares in 4 ways, for example, as 20661679342144 + 23930852416 = 4545512^2 + 154696^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 950614589 + ... + 950636348.

Almost surely, 220685610194560 is an apocalyptic number.

20685610194560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20685610194560 is an abundant number, since it is smaller than the sum of its proper divisors (31674840637960).

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

20685610194560 is a wasteful number, since it uses less digits than its factorization.

20685610194560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901250973 (or 1901250961 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 53.

The spelling of 20685610194560 in words is "twenty trillion, six hundred eighty-five billion, six hundred ten million, one hundred ninety-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 320 340 544 640 680 1088 1360 2176 2720 5440 10880 1901250937 3802501874 7605003748 9506254685 15210007496 19012509370 30420014992 32321265929 38025018740 60840029984 64642531858 76050037480 121680059968 129285063716 152100074960 161606329645 243360119936 258570127432 304200149920 323212659290 517140254864 608400299840 646425318580 1034280509728 1216800599680 1292850637160 2068561019456 2585701274320 4137122038912 5171402548640 10342805097280 20685610194560