Search a number
-
+
1135042454520 = 2332513296381853
BaseRepresentation
bin10000100001000101110…
…011010110001111111000
311000111202001121220022200
4100201011303112033320
5122044031332021040
62225233054550200
7145001260450662
oct20410563261770
94014661556280
101135042454520
113a8406969807
12163b8b508360
1383059a44a70
143cd174a5532
151e7d211a630
hex10845cd63f8

1135042454520 has 192 divisors, whose sum is σ = 3974037893280. Its totient is φ = 279297358848.

The previous prime is 1135042454509. The next prime is 1135042454527. The reversal of 1135042454520 is 254542405311.

1135042454520 is a `hidden beast` number, since 1 + 1 + 3 + 50 + 42 + 4 + 545 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135042454527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13825914 + ... + 13907766.

Almost surely, 21135042454520 is an apocalyptic number.

1135042454520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1135042454520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1987018946640).

1135042454520 is an abundant number, since it is smaller than the sum of its proper divisors (2838995438760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1135042454520 is a wasteful number, since it uses less digits than its factorization.

1135042454520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84846 (or 84839 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 1135042454520 its reverse (254542405311), we get a palindrome (1389584859831).

The spelling of 1135042454520 in words is "one trillion, one hundred thirty-five billion, forty-two million, four hundred fifty-four thousand, five hundred twenty".