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1130954698752 = 21232329433209
BaseRepresentation
bin10000011101010010001…
…001110011000000000000
311000010012011210101120220
4100131102021303000000
5122012143400330002
62223315312103040
7144465053216454
oct20352211630000
94003164711526
101130954698752
113a66a949735a
1216322a534a80
1382857ba8a78
143ca4a62a664
151e64330d7bc
hex10752273000

1130954698752 has 416 divisors, whose sum is σ = 3331862899200. Its totient is φ = 339957252096.

The previous prime is 1130954698751. The next prime is 1130954698763. The reversal of 1130954698752 is 2578964590311.

It is a happy number.

It is a super-3 number, since 3×11309546987523 (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1130954698751) 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 31 ways as a sum of consecutive naturals, for example, 352430524 + ... + 352433732.

It is a 1-persistent number, because it is pandigital, but 2⋅1130954698752 = 2261909397504 is not.

Almost surely, 21130954698752 is an apocalyptic number.

1130954698752 is a gapful number since it is divisible by the number (12) 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 1130954698752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665931449600).

1130954698752 is an abundant number, since it is smaller than the sum of its proper divisors (2200908200448).

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

1130954698752 is a wasteful number, since it uses less digits than its factorization.

1130954698752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3331 (or 3309 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 60.

The spelling of 1130954698752 in words is "one trillion, one hundred thirty billion, nine hundred fifty-four million, six hundred ninety-eight thousand, seven hundred fifty-two".