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1076404361064 = 2331741227467607
BaseRepresentation
bin11111010100111101011…
…00110001011101101000
310210220101110201010010120
433222132230301131220
5120113434004023224
62142254321043240
7140524206051204
oct17523654613550
93726343633116
101076404361064
1138555622224a
12154745786520
137a6734b9546
143a153849b04
151ceee235779
hexfa9eb31768

1076404361064 has 256 divisors, whose sum is σ = 2942776811520. Its totient is φ = 326766059520.

The previous prime is 1076404361051. The next prime is 1076404361089. The reversal of 1076404361064 is 4601634046701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1773318249 + ... + 1773318855.

It is an arithmetic number, because the mean of its divisors is an integer number (11495221920).

Almost surely, 21076404361064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1076404361064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471388405760).

1076404361064 is an abundant number, since it is smaller than the sum of its proper divisors (1866372450456).

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

1076404361064 is a wasteful number, since it uses less digits than its factorization.

1076404361064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 1076404361064 in words is "one trillion, seventy-six billion, four hundred four million, three hundred sixty-one thousand, sixty-four".