Search a number
-
+
1054098168480 = 253257227675399
BaseRepresentation
bin11110101011011010010…
…01011001101010100000
310201202210220200010101200
433111231021121222200
5114232243112342410
62124125050001200
7136104351411600
oct17255511315240
93652726603350
101054098168480
11377049a32645
1215035b416200
137852a0abc16
1439039162c00
151c645cc33c0
hexf56d259aa0

1054098168480 has 432 divisors, whose sum is σ = 4186680825600. Its totient is φ = 240805039104.

The previous prime is 1054098168457. The next prime is 1054098168581. The reversal of 1054098168480 is 848618904501.

It is a happy number.

1054098168480 is a `hidden beast` number, since 1 + 0 + 5 + 409 + 81 + 6 + 84 + 80 = 666.

1054098168480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10540981684802 (a number of 25 digits) contains 22 as substring.

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, 195236821 + ... + 195242219.

It is an arithmetic number, because the mean of its divisors is an integer number (9691390800).

Almost surely, 21054098168480 is an apocalyptic number.

1054098168480 is a gapful number since it is divisible by the number (10) 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 1054098168480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2093340412800).

1054098168480 is an abundant number, since it is smaller than the sum of its proper divisors (3132582657120).

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

1054098168480 is a wasteful number, since it uses less digits than its factorization.

1054098168480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8201 (or 8183 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 1054098168480 in words is "one trillion, fifty-four billion, ninety-eight million, one hundred sixty-eight thousand, four hundred eighty".