Search a number
-
+
1076308943616 = 283629712801
BaseRepresentation
bin11111010100110010000…
…00110010001100000000
310210220010211011102000000
433222121000302030000
5120113240042143431
62142241032000000
7140521640033214
oct17523100621400
93726124142000
101076308943616
11385507380755
12154719830000
137a6597bb80a
143a144ccc944
151cee5b889e6
hexfa99032300

1076308943616 has 504 divisors, whose sum is σ = 3380359923360. Its totient is φ = 341397504000.

The previous prime is 1076308943581. The next prime is 1076308943623. The reversal of 1076308943616 is 6163498036701.

It is a happy number.

1076308943616 is a `hidden beast` number, since 10 + 7 + 6 + 3 + 0 + 8 + 9 + 4 + 3 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 384257416 + ... + 384260216.

It is an arithmetic number, because the mean of its divisors is an integer number (6707063340).

Almost surely, 21076308943616 is an apocalyptic number.

1076308943616 is a gapful number since it is divisible by the number (16) 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 1076308943616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690179961680).

1076308943616 is an abundant number, since it is smaller than the sum of its proper divisors (2304050979744).

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

1076308943616 is an frugal number, since it uses more digits than its factorization.

1076308943616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2935 (or 2906 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 1076308943616 in words is "one trillion, seventy-six billion, three hundred eight million, nine hundred forty-three thousand, six hundred sixteen".