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20016155514640 = 245892811257797
BaseRepresentation
bin1001000110100010111111…
…10101101101011100010000
32121212112012021220200102211
410203101133311231130100
510110421041302432030
6110323143410521504
74134055664440435
oct443213765553420
977775167820384
1020016155514640
116417892a7132a
1222b3321b96294
13b22691349c5c
144d2b03b11b8c
1524a9ed34a12a
hex12345fd6d710

20016155514640 has 40 divisors (see below), whose sum is σ = 47060455538520. Its totient is φ = 7916501953536.

The previous prime is 20016155514601. The next prime is 20016155514661. The reversal of 20016155514640 is 4641555161002.

It can be written as a sum of positive squares in 4 ways, for example, as 4707372443904 + 15308783070736 = 2169648^2 + 3912644^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 20016155514593 and 20016155514602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1405621779 + ... + 1405636018.

It is an arithmetic number, because the mean of its divisors is an integer number (1176511388463).

Almost surely, 220016155514640 is an apocalyptic number.

20016155514640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20016155514640 is an abundant number, since it is smaller than the sum of its proper divisors (27044300023880).

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

20016155514640 is a wasteful number, since it uses less digits than its factorization.

20016155514640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2811257899 (or 2811257893 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 40.

The spelling of 20016155514640 in words is "twenty trillion, sixteen billion, one hundred fifty-five million, five hundred fourteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 1424 1780 3560 7120 2811257797 5622515594 11245031188 14056288985 22490062376 28112577970 44980124752 56225155940 112450311880 224900623760 250201943933 500403887866 1000807775732 1251009719665 2001615551464 2502019439330 4003231102928 5004038878660 10008077757320 20016155514640