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1128730832768 = 27711114522203
BaseRepresentation
bin10000011011001101100…
…110011010111110000000
310222220110012012021222002
4100123031212122332000
5121443120043122033
62222310511003132
7144356000530250
oct20331546327600
93886405167862
101128730832768
113a5768146990
121629098094a8
138259223c436
143c8b9139960
151e562e7a3e8
hex106cd99af80

1128730832768 has 64 divisors (see below), whose sum is σ = 2803503553920. Its totient is φ = 439765255680.

The previous prime is 1128730832753. The next prime is 1128730832771. The reversal of 1128730832768 is 8672380378211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×11287308327682 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57251246 + ... + 57270957.

It is an arithmetic number, because the mean of its divisors is an integer number (43804743030).

Almost surely, 21128730832768 is an apocalyptic number.

It is an amenable number.

1128730832768 is an abundant number, since it is smaller than the sum of its proper divisors (1674772721152).

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

1128730832768 is a wasteful number, since it uses less digits than its factorization.

1128730832768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114522235 (or 114522223 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 56.

The spelling of 1128730832768 in words is "one trillion, one hundred twenty-eight billion, seven hundred thirty million, eight hundred thirty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 616 704 896 1232 1408 2464 4928 9856 114522203 229044406 458088812 801655421 916177624 1259744233 1603310842 1832355248 2519488466 3206621684 3664710496 5038976932 6413243368 7329420992 8818209631 10077953864 12826486736 14658841984 17636419262 20155907728 25652973472 35272838524 40311815456 51305946944 70545677048 80623630912 102611893888 141091354096 161247261824 282182708192 564365416384 1128730832768