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10401534405 = 345171510753
BaseRepresentation
bin10011010111111101…
…01101000111000101
3222211220022200210000
421223332231013011
5132300243100110
64440044551513
7515521404123
oct115376550705
928756280700
1010401534405
114458438829
122023552599
13c99c482b2
14709606913
1540d2761c0
hex26bfad1c5

10401534405 has 40 divisors (see below), whose sum is σ = 19742533272. Its totient is φ = 5221158912.

The previous prime is 10401534391. The next prime is 10401534443. The reversal of 10401534405 is 50443510401.

It is a happy number.

10401534405 is a `hidden beast` number, since 104 + 0 + 153 + 4 + 405 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2265855201 + 8135679204 = 47601^2 + 90198^2 .

It is not a de Polignac number, because 10401534405 - 25 = 10401534373 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 748492 + ... + 762261.

Almost surely, 210401534405 is an apocalyptic number.

10401534405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10401534405 is a deficient number, since it is larger than the sum of its proper divisors (9340998867).

10401534405 is a wasteful number, since it uses less digits than its factorization.

10401534405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510787 (or 1510778 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 10401534405 in words is "ten billion, four hundred one million, five hundred thirty-four thousand, four hundred five".

Divisors: 1 3 5 9 15 17 27 45 51 81 85 135 153 255 405 459 765 1377 2295 6885 1510753 4532259 7553765 13596777 22661295 25682801 40790331 67983885 77048403 122370993 128414005 203951655 231145209 385242015 611854965 693435627 1155726045 2080306881 3467178135 10401534405