Search a number
-
+
10046144523545 = 513154556069593
BaseRepresentation
bin1001001000110000110011…
…1000000010110100011001
31022120101212002021221000222
42102030030320002310121
52304044000444223140
633211045102205425
72054544553334024
oct222141470026431
938511762257028
1010046144523545
113223600754599
121163015583875
1357b469208b20
1426a3437aa1bb
151264cb0ae5b5
hex9230ce02d19

10046144523545 has 8 divisors (see below), whose sum is σ = 12982709845896. Its totient is φ = 7418691340416.

The previous prime is 10046144523539. The next prime is 10046144523551. The reversal of 10046144523545 is 54532544164001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10046144523539) and next prime (10046144523551).

It can be written as a sum of positive squares in 4 ways, for example, as 28438437769 + 10017706085776 = 168637^2 + 3165076^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10046144523545 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10046144523496 and 10046144523505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77278034732 + ... + 77278034861.

It is an arithmetic number, because the mean of its divisors is an integer number (1622838730737).

Almost surely, 210046144523545 is an apocalyptic number.

It is an amenable number.

10046144523545 is a deficient number, since it is larger than the sum of its proper divisors (2936565322351).

10046144523545 is a wasteful number, since it uses less digits than its factorization.

10046144523545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154556069611.

The product of its (nonzero) digits is 1152000, while the sum is 44.

Adding to 10046144523545 its reverse (54532544164001), we get a palindrome (64578688687546).

The spelling of 10046144523545 in words is "ten trillion, forty-six billion, one hundred forty-four million, five hundred twenty-three thousand, five hundred forty-five".

Divisors: 1 5 13 65 154556069593 772780347965 2009228904709 10046144523545