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10406912785480 = 235608942728333
BaseRepresentation
bin1001011101110000110001…
…0101101111110001001000
31100211220001122102111210001
42113130030111233301020
52331001324133113410
634044511510132344
72122606000062661
oct227341425576110
940756048374701
1010406912785480
113352601a61472
121200b1a0510b4
135a64a19b4673
1427d9a9428368
15130a9367933a
hex9770c56fc48

10406912785480 has 32 divisors (see below), whose sum is σ = 23419399865400. Its totient is φ = 4162081363456.

The previous prime is 10406912785441. The next prime is 10406912785481. The reversal of 10406912785480 is 8458721960401.

10406912785480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7416482715684 + 2990430069796 = 2723322^2 + 1729286^2 .

It is not an unprimeable number, because it can be changed into a prime (10406912785481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21120607 + ... + 21607726.

Almost surely, 210406912785480 is an apocalyptic number.

10406912785480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10406912785480 is an abundant number, since it is smaller than the sum of its proper divisors (13012487079920).

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

10406912785480 is a wasteful number, since it uses less digits than its factorization.

10406912785480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42734433 (or 42734429 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 55.

The spelling of 10406912785480 in words is "ten trillion, four hundred six billion, nine hundred twelve million, seven hundred eighty-five thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 6089 12178 24356 30445 48712 60890 121780 243560 42728333 85456666 170913332 213641665 341826664 427283330 854566660 1709133320 260172819637 520345639274 1040691278548 1300864098185 2081382557096 2601728196370 5203456392740 10406912785480