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1129986314368 = 27131499135049
BaseRepresentation
bin10000011100011000011…
…011101101000010000000
311000000200200121100221121
4100130120123231002000
5122003202444024433
62223035240202024
7144432054123412
oct20343033550200
94000620540847
101129986314368
113a62518a788a
12162bba169314
138273238b062
143c997b8c9b2
151e5d82c4c2d
hex107186ed080

1129986314368 has 64 divisors (see below), whose sum is σ = 2272891500000. Its totient is φ = 559552481280.

The previous prime is 1129986314339. The next prime is 1129986314381. The reversal of 1129986314368 is 8634136899211.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8299708 + ... + 8434756.

Almost surely, 21129986314368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1129986314368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136445750000).

1129986314368 is an abundant number, since it is smaller than the sum of its proper divisors (1142905185632).

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

1129986314368 is a wasteful number, since it uses less digits than its factorization.

1129986314368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135693 (or 135681 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 61.

The spelling of 1129986314368 in words is "one trillion, one hundred twenty-nine billion, nine hundred eighty-six million, three hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 131 262 499 524 998 1048 1996 2096 3992 4192 7984 8384 15968 16768 31936 63872 65369 130738 135049 261476 270098 522952 540196 1045904 1080392 2091808 2160784 4183616 4321568 8367232 8643136 17286272 17691419 35382838 67389451 70765676 134778902 141531352 269557804 283062704 539115608 566125408 1078231216 1132250816 2156462432 2264501632 4312924864 8625849728 8828018081 17656036162 35312072324 70624144648 141248289296 282496578592 564993157184 1129986314368