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10406020361136 = 2431921731128109
BaseRepresentation
bin1001011101101101011100…
…1001011010101110110000
31100211210202110011122201120
42113123113021122232300
52330443012203024021
634044243150302240
72122544612435511
oct227332711325660
940753673148646
1010406020361136
113352194233894
12120090b1b7980
135a638bb4121a
1427d922ac0a08
15130a401472c6
hex976d725abb0

10406020361136 has 40 divisors (see below), whose sum is σ = 26882382981360. Its totient is φ = 3468652329216.

The previous prime is 10406020361129. The next prime is 10406020361159. The reversal of 10406020361136 is 63116302060401.

It is a junction number, because it is equal to n+sod(n) for n = 10406020361097 and 10406020361106.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8660250 + ... + 9788358.

It is an arithmetic number, because the mean of its divisors is an integer number (672059574534).

Almost surely, 210406020361136 is an apocalyptic number.

10406020361136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10406020361136 is an abundant number, since it is smaller than the sum of its proper divisors (16476362620224).

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

10406020361136 is a wasteful number, since it uses less digits than its factorization.

10406020361136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320293 (or 1320287 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 10406020361136 in words is "ten trillion, four hundred six billion, twenty million, three hundred sixty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 192173 384346 576519 768692 1128109 1153038 1537384 2256218 2306076 3074768 3384327 4512436 4612152 6768654 9024872 9224304 13537308 18049744 27074616 54149232 216792090857 433584181714 650376272571 867168363428 1300752545142 1734336726856 2601505090284 3468673453712 5203010180568 10406020361136