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1068437053440 = 2133353726111
BaseRepresentation
bin11111000110000111100…
…11111010000000000000
310210010211012210221202000
433203003303322000000
5120001124341202230
62134455550024000
7140122603052121
oct17430363720000
93703735727660
101068437053440
11382137954099
121530a14a8000
13799a3981a33
14399d9652048
151cbd4a46b60
hexf8c3cfa000

1068437053440 has 448 divisors, whose sum is σ = 3901471211520. Its totient is φ = 277205483520.

The previous prime is 1068437053421. The next prime is 1068437053471. The reversal of 1068437053440 is 443507348601.

1068437053440 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 4 + 3 + 70 + 534 + 40 = 666.

It is a super-2 number, since 2×10684370534402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 40905985 + ... + 40932095.

Almost surely, 21068437053440 is an apocalyptic number.

1068437053440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1068437053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950735605760).

1068437053440 is an abundant number, since it is smaller than the sum of its proper divisors (2833034158080).

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

1068437053440 is an equidigital number, since it uses as much as digits as its factorization.

1068437053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26188 (or 26158 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 1068437053440 in words is "one trillion, sixty-eight billion, four hundred thirty-seven million, fifty-three thousand, four hundred forty".