Search a number
-
+
1066115950592 = 211711172149157
BaseRepresentation
bin11111000001110010111…
…01100110100000000000
310202220211110020201012212
433200321131212200000
5114431401140404332
62133433352441252
7140011230026330
oct17407135464000
93686743221185
101066115950592
1138115672a180
121527540a9228
13796c3b2b4b4
143985928d0c0
151caeada78b2
hexf839766800

1066115950592 has 576 divisors, whose sum is σ = 2860301808000. Its totient is φ = 385839267840.

The previous prime is 1066115950579. The next prime is 1066115950597. The reversal of 1066115950592 is 2950595116601.

It is a super-2 number, since 2×10661159505922 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1066115950592.

It is not an unprimeable number, because it can be changed into a prime (1066115950597) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6790547378 + ... + 6790547534.

It is an arithmetic number, because the mean of its divisors is an integer number (4965801750).

Almost surely, 21066115950592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066115950592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430150904000).

1066115950592 is an abundant number, since it is smaller than the sum of its proper divisors (1794185857408).

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

1066115950592 is a wasteful number, since it uses less digits than its factorization.

1066115950592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 50.

The spelling of 1066115950592 in words is "one trillion, sixty-six billion, one hundred fifteen million, nine hundred fifty thousand, five hundred ninety-two".