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20006117285720 = 2353136743961759
BaseRepresentation
bin1001000110010000010011…
…00000111001111101011000
32121211120021201012211002112
410203020021200321331120
510110240012011120340
6110314403340451452
74133252144055056
oct443101140717530
977746251184075
1020006117285720
116413601716375
1222b13a0249b88
13b21751766127
144d243087b1d6
1524a611e3a065
hex123209839f58

20006117285720 has 64 divisors (see below), whose sum is σ = 46592431718400. Its totient is φ = 7723201645440.

The previous prime is 20006117285681. The next prime is 20006117285731. The reversal of 20006117285720 is 2758271160002.

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 15 ways as a sum of consecutive naturals, for example, 21525800 + ... + 22435959.

It is an arithmetic number, because the mean of its divisors is an integer number (728006745600).

Almost surely, 220006117285720 is an apocalyptic number.

20006117285720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20006117285720 is an abundant number, since it is smaller than the sum of its proper divisors (26586314432680).

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

20006117285720 is a wasteful number, since it uses less digits than its factorization.

20006117285720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43962168 (or 43962164 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 41.

The spelling of 20006117285720 in words is "twenty trillion, six billion, one hundred seventeen million, two hundred eighty-five thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 367 620 734 1240 1468 1835 2936 3670 7340 11377 14680 22754 45508 56885 91016 113770 227540 455080 43961759 87923518 175847036 219808795 351694072 439617590 879235180 1362814529 1758470360 2725629058 5451258116 6814072645 10902516232 13628145290 16133965553 27256290580 32267931106 54512581160 64535862212 80669827765 129071724424 161339655530 322679311060 500152932143 645358622120 1000305864286 2000611728572 2500764660715 4001223457144 5001529321430 10003058642860 20006117285720