Search a number
-
+
11006104004 = 227737197489
BaseRepresentation
bin10100100000000001…
…11101000111000100
31001102000221000100122
422100000331013010
5140020030312004
65020043001112
7536512224530
oct122000750704
931360830318
1011006104004
114738727925
122171b09198
131065283a9c
14765a1cbc0
15446397cbe
hex29003d1c4

11006104004 has 48 divisors (see below), whose sum is σ = 22347763200. Its totient is φ = 4645195776.

The previous prime is 11006103959. The next prime is 11006104009. The reversal of 11006104004 is 40040160011.

It is a super-2 number, since 2×110061040042 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11006104009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1465892 + ... + 1473380.

It is an arithmetic number, because the mean of its divisors is an integer number (465578400).

Almost surely, 211006104004 is an apocalyptic number.

11006104004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11006104004 is an abundant number, since it is smaller than the sum of its proper divisors (11341659196).

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

11006104004 is a wasteful number, since it uses less digits than its factorization.

11006104004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8292 (or 8290 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 11006104004 its reverse (40040160011), we get a palindrome (51046264015).

The spelling of 11006104004 in words is "eleven billion, six million, one hundred four thousand, four".

Divisors: 1 2 4 7 14 28 73 146 292 511 719 1022 1438 2044 2876 5033 7489 10066 14978 20132 29956 52423 52487 104846 104974 209692 209948 367409 546697 734818 1093394 1469636 2186788 3826879 5384591 7653758 10769182 15307516 21538364 37692137 75384274 150768548 393075143 786150286 1572300572 2751526001 5503052002 11006104004