Search a number
-
+
11293191744 = 263564110427
BaseRepresentation
bin10101000010010000…
…00110111001000000
31002011001010120200220
422201020012321000
5141112024113434
65104340143040
7546566355162
oct124110067100
932131116626
1011293191744
11487579211a
122232097a80
1310ac8b05a3
14791bd0932
154616a5d49
hex2a1206e40

11293191744 has 56 divisors (see below), whose sum is σ = 29888066208. Its totient is φ = 3763368960.

The previous prime is 11293191743. The next prime is 11293191821. The reversal of 11293191744 is 44719139211.

It is a junction number, because it is equal to n+sod(n) for n = 11293191696 and 11293191705.

It is not an unprimeable number, because it can be changed into a prime (11293191743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1077859 + ... + 1088285.

It is an arithmetic number, because the mean of its divisors is an integer number (533715468).

Almost surely, 211293191744 is an apocalyptic number.

It is an amenable number.

11293191744 is an abundant number, since it is smaller than the sum of its proper divisors (18594874464).

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

11293191744 is a wasteful number, since it uses less digits than its factorization.

11293191744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16083 (or 16073 counting only the distinct ones).

The product of its digits is 54432, while the sum is 42.

The spelling of 11293191744 in words is "eleven billion, two hundred ninety-three million, one hundred ninety-one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 5641 10427 11282 16923 20854 22564 31281 33846 41708 45128 62562 67692 83416 90256 125124 135384 166832 180512 250248 270768 333664 361024 500496 541536 667328 1000992 1083072 2001984 58818707 117637414 176456121 235274828 352912242 470549656 705824484 941099312 1411648968 1882198624 2823297936 3764397248 5646595872 11293191744