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1134466048512 = 2933791038797
BaseRepresentation
bin10000100000100011011…
…100100010001000000000
311000110020220000102221000
4100200203130202020000
5122041341302023022
62225055544332000
7144651061206666
oct20404334421000
94013226012830
101134466048512
113a8140566405
12163a4a474000
1382c974ba414
143cca0b00c36
151e79b70d6ac
hex10823722200

1134466048512 has 160 divisors (see below), whose sum is σ = 3400609132800. Its totient is φ = 373368213504.

The previous prime is 1134466048511. The next prime is 1134466048517. The reversal of 1134466048512 is 2158406644311.

1134466048512 is a `hidden beast` number, since 1 + 1 + 34 + 4 + 6 + 60 + 48 + 512 = 666.

It is not an unprimeable number, because it can be changed into a prime (1134466048511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 572698 + ... + 1611494.

It is an arithmetic number, because the mean of its divisors is an integer number (21253807080).

Almost surely, 21134466048512 is an apocalyptic number.

1134466048512 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 1134466048512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700304566400).

1134466048512 is an abundant number, since it is smaller than the sum of its proper divisors (2266143084288).

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

1134466048512 is an equidigital number, since it uses as much as digits as its factorization.

1134466048512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038903 (or 1038881 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 1134466048512 in words is "one trillion, one hundred thirty-four billion, four hundred sixty-six million, forty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 96 108 128 144 158 192 216 237 256 288 316 384 432 474 512 576 632 711 768 864 948 1152 1264 1422 1536 1728 1896 2133 2304 2528 2844 3456 3792 4266 4608 5056 5688 6912 7584 8532 10112 11376 13824 15168 17064 20224 22752 30336 34128 40448 45504 60672 68256 91008 121344 136512 182016 273024 364032 546048 1038797 1092096 2077594 3116391 4155188 6232782 8310376 9349173 12465564 16620752 18698346 24931128 28047519 33241504 37396692 49862256 56095038 66483008 74793384 82064963 99724512 112190076 132966016 149586768 164129926 199449024 224380152 246194889 265932032 299173536 328259852 398898048 448760304 492389778 531864064 598347072 656519704 738584667 797796096 897520608 984779556 1196694144 1313039408 1477169334 1595592192 1795041216 1969559112 2215754001 2393388288 2626078816 2954338668 3590082432 3939118224 4431508002 4786776576 5252157632 5908677336 7180164864 7878236448 8863016004 10504315264 11817354672 14360329728 15756472896 17726032008 21008630528 23634709344 31512945792 35452064016 42017261056 47269418688 63025891584 70904128032 94538837376 126051783168 141808256064 189077674752 283616512128 378155349504 567233024256 1134466048512