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1069400696400 = 243352118183843
BaseRepresentation
bin11111000111111010011…
…11111010011001010000
310210020022101002002101000
433203331033322121100
5120010113034241100
62135135332142000
7140155513636611
oct17437517723120
93706271062330
101069400696400
113825918a5333
12153310167900
1379ac84cc57a
1439a8b617c08
151cc3e445900
hexf8fd3fa650

1069400696400 has 240 divisors, whose sum is σ = 3809542691520. Its totient is φ = 284928652800.

The previous prime is 1069400696303. The next prime is 1069400696453. The reversal of 1069400696400 is 46960049601.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10694006964002 (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12712879 + ... + 12796721.

It is an arithmetic number, because the mean of its divisors is an integer number (15873094548).

Almost surely, 21069400696400 is an apocalyptic number.

1069400696400 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 1069400696400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904771345760).

1069400696400 is an abundant number, since it is smaller than the sum of its proper divisors (2740141995120).

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

1069400696400 is a wasteful number, since it uses less digits than its factorization.

1069400696400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85051 (or 85034 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 1069400696400 in words is "one trillion, sixty-nine billion, four hundred million, six hundred ninety-six thousand, four hundred".