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1001455425405 = 32523253793757
BaseRepresentation
bin11101001001010110110…
…01010001011101111101
310112201221011001200210200
432210223121101131331
5112401440042103110
62044021241154113
7132231666443541
oct16445331213575
93481834050720
101001455425405
11356795530606
1214210948b939
137358a981cc6
1436683865a21
151b0b44086c0
hexe92b65177d

1001455425405 has 72 divisors (see below), whose sum is σ = 1848849708888. Its totient is φ = 501247388928.

The previous prime is 1001455425401. The next prime is 1001455425431. The reversal of 1001455425405 is 5045245541001.

1001455425405 is a `hidden beast` number, since 10 + 0 + 14 + 55 + 42 + 540 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 174034146276 + 827421279129 = 417174^2 + 909627^2 .

It is not a de Polignac number, because 1001455425405 - 22 = 1001455425401 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1001455425405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001455425401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 864787 + ... + 1658543.

It is an arithmetic number, because the mean of its divisors is an integer number (25678468179).

Almost surely, 21001455425405 is an apocalyptic number.

1001455425405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1001455425405 is a deficient number, since it is larger than the sum of its proper divisors (847394283483).

1001455425405 is a wasteful number, since it uses less digits than its factorization.

1001455425405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793867 (or 793841 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The spelling of 1001455425405 in words is "one trillion, one billion, four hundred fifty-five million, four hundred twenty-five thousand, four hundred five".

Divisors: 1 3 5 9 15 23 45 53 69 115 159 207 265 345 477 529 795 1035 1219 1587 2385 2645 3657 4761 6095 7935 10971 18285 23805 28037 54855 84111 140185 252333 420555 793757 1261665 2381271 3968785 7143813 11906355 18256411 35719065 42069121 54769233 91282055 126207363 164307699 210345605 273846165 378622089 419897453 631036815 821538495 967589783 1259692359 1893110445 2099487265 2902769349 3779077077 4837948915 6298461795 8708308047 14513846745 18895385385 22254565009 43541540235 66763695027 111272825045 200291085081 333818475135 1001455425405