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10416576406010 = 258578112143221
BaseRepresentation
bin1001011110010100110001…
…0101100010000111111010
31100212211000010020022000112
42113211030111202013322
52331131122024443020
634053150435104322
72123400321356525
oct227451425420772
940784003208015
1010416576406010
113356710904615
1212029764420a2
135a7381aa7418
14280244a27bbc
15130e5bc3e2c5
hex9794c5621fa

10416576406010 has 16 divisors (see below), whose sum is σ = 18750057652872. Its totient is φ = 4166581646400.

The previous prime is 10416576405997. The next prime is 10416576406039. The reversal of 10416576406010 is 1060467561401.

10416576406010 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 9587141808721 + 829434597289 = 3096311^2 + 910733^2 .

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, 5213801 + ... + 6929420.

Almost surely, 210416576406010 is an apocalyptic number.

10416576406010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10416576406010 is a deficient number, since it is larger than the sum of its proper divisors (8333481246862).

10416576406010 is a wasteful number, since it uses less digits than its factorization.

10416576406010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12229009.

The product of its (nonzero) digits is 120960, while the sum is 41.

The spelling of 10416576406010 in words is "ten trillion, four hundred sixteen billion, five hundred seventy-six million, four hundred six thousand, ten".

Divisors: 1 2 5 10 85781 171562 428905 857810 12143221 24286442 60716105 121432210 1041657640601 2083315281202 5208288203005 10416576406010