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20017506442040 = 2354142128992391
BaseRepresentation
bin1001000110100101100000…
…10111000101101100111000
32121212122200102220220102222
410203102300113011230320
510110431323122121130
6110323525425543212
74134134320230332
oct443226027055470
977778612826388
1020017506442040
116418416593058
1222b363a4a4b08
13b228481a6493
144d2bd12cc452
1524aa7bc49ce5
hex1234b05c5b38

20017506442040 has 64 divisors (see below), whose sum is σ = 46247504022720. Its totient is φ = 7793154432000.

The previous prime is 20017506442019. The next prime is 20017506442121. The reversal of 20017506442040 is 4024460571002.

It is a happy number.

It is a super-2 number, since 2×200175064420402 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13805756 + ... + 15186635.

It is an arithmetic number, because the mean of its divisors is an integer number (722617250355).

Almost surely, 220017506442040 is an apocalyptic number.

20017506442040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20017506442040 is an abundant number, since it is smaller than the sum of its proper divisors (26229997580680).

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

20017506442040 is a wasteful number, since it uses less digits than its factorization.

20017506442040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28992864 (or 28992860 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The spelling of 20017506442040 in words is "twenty trillion, seventeen billion, five hundred six million, four hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 421 820 842 1640 1684 2105 3368 4210 8420 16840 17261 34522 69044 86305 138088 172610 345220 690440 28992391 57984782 115969564 144961955 231939128 289923910 579847820 1159695640 1188688031 2377376062 4754752124 5943440155 9509504248 11886880310 12205796611 23773760620 24411593222 47547521240 48823186444 61028983055 97646372888 122057966110 244115932220 488231864440 500437661051 1000875322102 2001750644204 2502188305255 4003501288408 5004376610510 10008753221020 20017506442040