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13046146641 = 32112334916417
BaseRepresentation
bin11000010011001110…
…00110011001010001
31020200012121220202100
430021213012121101
5203204303143031
65554320111013
7641203262643
oct141147063121
936605556670
1013046146641
115595234080
122641165469
1312cbb0b1c8
148ba93c893
15515519de6
hex3099c6651

13046146641 has 48 divisors (see below), whose sum is σ = 21514147200. Its totient is φ = 7540853760.

The previous prime is 13046146583. The next prime is 13046146649. The reversal of 13046146641 is 14664164031.

13046146641 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 6 + 1 + 4 + 6 + 641 = 666.

It is not a de Polignac number, because 13046146641 - 217 = 13046015569 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13046146596 and 13046146605.

It is not an unprimeable number, because it can be changed into a prime (13046146649) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 786465 + ... + 802881.

It is an arithmetic number, because the mean of its divisors is an integer number (448211400).

Almost surely, 213046146641 is an apocalyptic number.

13046146641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13046146641 is a deficient number, since it is larger than the sum of its proper divisors (8468000559).

13046146641 is a wasteful number, since it uses less digits than its factorization.

13046146641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16806 (or 16803 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 13046146641 in words is "thirteen billion, forty-six million, one hundred forty-six thousand, six hundred forty-one".

Divisors: 1 3 9 11 23 33 69 99 207 253 349 759 1047 2277 3141 3839 8027 11517 16417 24081 34551 49251 72243 88297 147753 180587 264891 377591 541761 794673 1132773 1625283 3398319 4153501 5729533 12460503 17188599 37381509 51565797 63024863 131779259 189074589 395337777 567223767 1186013331 1449571849 4348715547 13046146641