Search a number
-
+
1078861423968 = 253217237734799
BaseRepresentation
bin11111011001100010010…
…01101110010101100000
310211010201201002211210100
433230301021232111200
5120134002011031333
62143342212302400
7140642122536666
oct17546111562540
93733651084710
101078861423968
113865a7169a49
12155110611a00
137a975564313
143a307cc0c36
151d0e4cce213
hexfb3126e560

1078861423968 has 432 divisors, whose sum is σ = 3393742060800. Its totient is φ = 324739694592.

The previous prime is 1078861423897. The next prime is 1078861423987. The reversal of 1078861423968 is 8693241688701.

1078861423968 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 8 + 614 + 2 + 3 + 9 + 6 + 8 = 666.

1078861423968 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 224807233 + ... + 224812031.

It is an arithmetic number, because the mean of its divisors is an integer number (7855884400).

Almost surely, 21078861423968 is an apocalyptic number.

1078861423968 is a gapful number since it is divisible by the number (18) 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 1078861423968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696871030400).

1078861423968 is an abundant number, since it is smaller than the sum of its proper divisors (2314880636832).

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

1078861423968 is a wasteful number, since it uses less digits than its factorization.

1078861423968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4959 (or 4931 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 1078861423968 in words is "one trillion, seventy-eight billion, eight hundred sixty-one million, four hundred twenty-three thousand, nine hundred sixty-eight".