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11313315456 = 27389331031
BaseRepresentation
bin10101000100101001…
…10111111010000000
31002012102222222020120
422202110313322000
5141132202043311
65110335340240
7550232410662
oct124224677200
932172888216
1011313315456
114886087393
122238981680
1310b3b08101
1479474c532
1546332d706
hex2a2537e80

11313315456 has 64 divisors (see below), whose sum is σ = 30388737600. Its totient is φ = 3728721920.

The previous prime is 11313315439. The next prime is 11313315479. The reversal of 11313315456 is 65451331311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×113133154562 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131340 + ... + 199691.

It is an arithmetic number, because the mean of its divisors is an integer number (474824025).

Almost surely, 211313315456 is an apocalyptic number.

11313315456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11313315456 is an abundant number, since it is smaller than the sum of its proper divisors (19075422144).

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

11313315456 is an equidigital number, since it uses as much as digits as its factorization.

11313315456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331137 (or 331125 counting only the distinct ones).

The product of its digits is 16200, while the sum is 33.

Adding to 11313315456 its reverse (65451331311), we get a palindrome (76764646767).

The spelling of 11313315456 in words is "eleven billion, three hundred thirteen million, three hundred fifteen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 178 192 267 356 384 534 712 1068 1424 2136 2848 4272 5696 8544 11392 17088 34176 331031 662062 993093 1324124 1986186 2648248 3972372 5296496 7944744 10592992 15889488 21185984 29461759 31778976 42371968 58923518 63557952 88385277 117847036 127115904 176770554 235694072 353541108 471388144 707082216 942776288 1414164432 1885552576 2828328864 3771105152 5656657728 11313315456