Search a number
-
+
11134749472 = 257115418353
BaseRepresentation
bin10100101111010111…
…01100101100100000
31001201222222212202121
422113223230230200
5140300443440342
65040520154024
7542633544310
oct122753545440
931658885677
1011134749472
1147a43040a0
1221a9008914
131085b16b72
14778b49440
1545280a067
hex297aecb20

11134749472 has 96 divisors (see below), whose sum is σ = 27384545664. Its totient is φ = 4329676800.

The previous prime is 11134749469. The next prime is 11134749523. The reversal of 11134749472 is 27494743111.

11134749472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 1328848 + ... + 1337200.

It is an arithmetic number, because the mean of its divisors is an integer number (285255684).

Almost surely, 211134749472 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 11134749472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13692272832).

11134749472 is an abundant number, since it is smaller than the sum of its proper divisors (16249796192).

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

11134749472 is a wasteful number, since it uses less digits than its factorization.

11134749472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8922 (or 8914 counting only the distinct ones).

The product of its digits is 169344, while the sum is 43.

The spelling of 11134749472 in words is "eleven billion, one hundred thirty-four million, seven hundred forty-nine thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 541 616 1082 1232 2164 2464 3787 4328 5951 7574 8353 8656 11902 15148 16706 17312 23804 30296 33412 41657 47608 58471 60592 66824 83314 91883 95216 116942 121184 133648 166628 183766 190432 233884 267296 333256 367532 467768 643181 666512 735064 935536 1286362 1333024 1470128 1871072 2572724 2940256 4518973 5145448 9037946 10290896 18075892 20581792 31632811 36151784 49708703 63265622 72303568 99417406 126531244 144607136 198834812 253062488 347960921 397669624 506124976 695921842 795339248 1012249952 1391843684 1590678496 2783687368 5567374736 11134749472