Search a number
-
+
10150135425405 = 325313720634393
BaseRepresentation
bin1001001110110100001100…
…1101110110100101111101
31022221100021101112002102200
42103231003031312211331
52312244434132103110
633330524032142113
72065215550403643
oct223550315664575
938840241462380
1010150135425405
11326371491a298
12117b1b7997939
135881cc7a2a51
142713aa893193
151290658736c0
hex93b4337697d

10150135425405 has 24 divisors (see below), whose sum is σ = 17649777577848. Its totient is φ = 5396110327296.

The previous prime is 10150135425343. The next prime is 10150135425407. The reversal of 10150135425405 is 50452453105101.

10150135425405 is a `hidden beast` number, since 1 + 0 + 1 + 50 + 1 + 354 + 254 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 425055753369 + 9725079672036 = 651963^2 + 3118506^2 .

It is not a de Polignac number, because 10150135425405 - 26 = 10150135425341 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10150135425405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10150135425407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 360303112 + ... + 360331281.

It is an arithmetic number, because the mean of its divisors is an integer number (735407399077).

Almost surely, 210150135425405 is an apocalyptic number.

10150135425405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10150135425405 is a deficient number, since it is larger than the sum of its proper divisors (7499642152443).

10150135425405 is a wasteful number, since it uses less digits than its factorization.

10150135425405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720634717 (or 720634714 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 10150135425405 in words is "ten trillion, one hundred fifty billion, one hundred thirty-five million, four hundred twenty-five thousand, four hundred five".

Divisors: 1 3 5 9 15 45 313 939 1565 2817 4695 14085 720634393 2161903179 3603171965 6485709537 10809515895 32428547685 225558565009 676675695027 1127792825045 2030027085081 3383378475135 10150135425405