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10612784323368 = 2332147399782269
BaseRepresentation
bin1001101001101111101100…
…1111010101101100101000
31101120120110012001020001200
42122123323033111230220
52342334440241321433
634323240143444200
72143514455221153
oct232337317255450
941516405036050
1010612784323368
113421947091a17
1212349b3bb6660
135bca205a1ac6
14289939238c9a
151360e230d613
hex9a6fb3d5b28

10612784323368 has 24 divisors (see below), whose sum is σ = 28742957542650. Its totient is φ = 3537594774432.

The previous prime is 10612784323363. The next prime is 10612784323381. The reversal of 10612784323368 is 86332348721601.

It is a happy number.

10612784323368 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 278 + 4 + 3 + 2 + 3 + 368 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9566537652324 + 1046246671044 = 3092982^2 + 1022862^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×106127843233682 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10612784323363) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73699891063 + ... + 73699891206.

Almost surely, 210612784323368 is an apocalyptic number.

10612784323368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10612784323368 is an abundant number, since it is smaller than the sum of its proper divisors (18130173219282).

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

10612784323368 is a wasteful number, since it uses less digits than its factorization.

10612784323368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147399782281 (or 147399782274 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 10612784323368 in words is "ten trillion, six hundred twelve billion, seven hundred eighty-four million, three hundred twenty-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 147399782269 294799564538 442199346807 589599129076 884398693614 1179198258152 1326598040421 1768797387228 2653196080842 3537594774456 5306392161684 10612784323368