Search a number
-
+
1064775883776 = 21031179398857
BaseRepresentation
bin11110111111010011001…
…01101001110000000000
310202210101001200021010120
433133221211221300000
5114421130111240101
62133052402300240
7136633065452103
oct17375145516000
93683331607116
101064775883776
11380629256140
1215243b357680
137953c305457
143976d2dc73a
151ca6d400b36
hexf7e9969c00

1064775883776 has 176 divisors, whose sum is σ = 3135215331840. Its totient is φ = 318574264320.

The previous prime is 1064775883741. The next prime is 1064775883811. The reversal of 1064775883776 is 6773885774601.

1064775883776 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1064775883741) and next prime (1064775883811).

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×10647758837762 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1064775883776.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2470140 + ... + 2868996.

Almost surely, 21064775883776 is an apocalyptic number.

1064775883776 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 1064775883776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567607665920).

1064775883776 is an abundant number, since it is smaller than the sum of its proper divisors (2070439448064).

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

1064775883776 is a wasteful number, since it uses less digits than its factorization.

1064775883776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398970 (or 398952 counting only the distinct ones).

The product of its (nonzero) digits is 331914240, while the sum is 69.

The spelling of 1064775883776 in words is "one trillion, sixty-four billion, seven hundred seventy-five million, eight hundred eighty-three thousand, seven hundred seventy-six".