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1075706696064 = 273711213475413
BaseRepresentation
bin11111010011101010001…
…11011001000110000000
310210211120211221001200010
433221311013121012000
5120111021403233224
62142101155424520
7140501005023360
oct17516507310600
93724524831603
101075706696064
11385228428200
1215458bbb5140
137a591ab6c10
143a0c8d1c9a0
151ceacd74e29
hexfa751d9180

1075706696064 has 768 divisors, whose sum is σ = 3948474378240. Its totient is φ = 252377579520.

The previous prime is 1075706696033. The next prime is 1075706696069. The reversal of 1075706696064 is 4606966075701.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1075706695995 and 1075706696013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1075706696069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 198723822 + ... + 198729234.

It is an arithmetic number, because the mean of its divisors is an integer number (5141242680).

Almost surely, 21075706696064 is an apocalyptic number.

1075706696064 is a gapful number since it is divisible by the number (14) 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 1075706696064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974237189120).

1075706696064 is an abundant number, since it is smaller than the sum of its proper divisors (2872767682176).

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

1075706696064 is a wasteful number, since it uses less digits than its factorization.

1075706696064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5519 (or 5496 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 57.

The spelling of 1075706696064 in words is "one trillion, seventy-five billion, seven hundred six million, six hundred ninety-six thousand, sixty-four".