Search a number
-
+
11845409024656 = 24472183072
BaseRepresentation
bin1010110001011111100101…
…1001011010101010010000
31112221102001220212212201001
42230113321121122222100
53023033344202242111
641105412240551344
72331542164263334
oct254277131325220
945842056785631
1011845409024656
113857678648a59
1213b3877622554
1367c02bc62a8c
142cd46c5dd7c4
151581d62821c1
hexac5f965aa90

11845409024656 has 45 divisors (see below), whose sum is σ = 23450458559619. Its totient is φ = 5796372884832.

The previous prime is 11845409024641. The next prime is 11845409024677. The reversal of 11845409024656 is 65642090454811.

The square root of 11845409024656 is 3441716.

It is a perfect power (a square), and thus also a powerful number.

11845409024656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×118454090246562 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11845409024597 and 11845409024606.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 647033455 + ... + 647051761.

Almost surely, 211845409024656 is an apocalyptic number.

11845409024656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11845409024656 is the 3441716-th square number.

It is an amenable number.

11845409024656 is a deficient number, since it is larger than the sum of its proper divisors (11605049534963).

11845409024656 is an frugal number, since it uses more digits than its factorization.

11845409024656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36716 (or 18356 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 55.

The spelling of 11845409024656 in words is "eleven trillion, eight hundred forty-five billion, four hundred nine million, twenty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 47 94 188 376 752 2209 4418 8836 17672 18307 35344 36614 73228 146456 292912 860429 1720858 3441716 6883432 13766864 40440163 80880326 161760652 323521304 335146249 647042608 670292498 1340584996 2681169992 5362339984 15751873703 31503747406 63007494812 126014989624 252029979248 740338064041 1480676128082 2961352256164 5922704512328 11845409024656