Search a number
-
+
1125466004880 = 24325717231493833
BaseRepresentation
bin10000011000001011000…
…000000101110110010000
310222121000122211212001200
4100120023000011312100
5121414423244124010
62221010522231200
7144212045124510
oct20301300056620
93877018755050
101125466004880
113a4342245418
12162158355500
1382191a23309
143c6896b7840
151e421523cc0
hex1060b005d90

1125466004880 has 960 divisors, whose sum is σ = 4805885260800. Its totient is φ = 229975916544.

The previous prime is 1125466004879. The next prime is 1125466004881. The reversal of 1125466004880 is 884006645211.

It is a happy number.

1125466004880 is a `hidden beast` number, since 1 + 1 + 2 + 546 + 60 + 0 + 48 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1125466004879) and next prime (1125466004881).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1125466004881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 293623444 + ... + 293627276.

It is an arithmetic number, because the mean of its divisors is an integer number (5006130480).

Almost surely, 21125466004880 is an apocalyptic number.

1125466004880 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 1125466004880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2402942630400).

1125466004880 is an abundant number, since it is smaller than the sum of its proper divisors (3680419255920).

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

1125466004880 is a wasteful number, since it uses less digits than its factorization.

1125466004880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4048 (or 4039 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 1125466004880 in words is "one trillion, one hundred twenty-five billion, four hundred sixty-six million, four thousand, eight hundred eighty".