Search a number
-
+
1158993769632 = 253173743144533
BaseRepresentation
bin10000110111011001011…
…010010111010010100000
311002210120021020202220120
4100313121122113102200
5122442104401112012
62244233454440240
7146506642332006
oct20673132272240
94083507222816
101158993769632
1140758784a306
12168754803080
13853a5c2647a
144014a46aa76
1520234be158c
hex10dd96974a0

1158993769632 has 192 divisors, whose sum is σ = 3316134173184. Its totient is φ = 352949944320.

The previous prime is 1158993769601. The next prime is 1158993769639. The reversal of 1158993769632 is 2369673998511.

It is not an unprimeable number, because it can be changed into a prime (1158993769639) 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 31 ways as a sum of consecutive naturals, for example, 26003238 + ... + 26047770.

It is an arithmetic number, because the mean of its divisors is an integer number (17271532152).

Almost surely, 21158993769632 is an apocalyptic number.

1158993769632 is a gapful number since it is divisible by the number (12) 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 1158993769632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658067086592).

1158993769632 is an abundant number, since it is smaller than the sum of its proper divisors (2157140403552).

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

1158993769632 is a wasteful number, since it uses less digits than its factorization.

1158993769632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45031 (or 45023 counting only the distinct ones).

The product of its digits is 132269760, while the sum is 69.

The spelling of 1158993769632 in words is "one trillion, one hundred fifty-eight billion, nine hundred ninety-three million, seven hundred sixty-nine thousand, six hundred thirty-two".