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1943381911968 = 253273972428159
BaseRepresentation
bin11100010001111010100…
…101101010100110100000
320212210012121220222021200
4130101322211222212200
5223320021232140333
64044435522521200
7260255546461020
oct34217245524640
96783177828250
101943381911968
1168a2024752a2
12274782806200
1311134c668c33
146a0bb219a80
153584260cc13
hex1c47a96a9a0

1943381911968 has 144 divisors (see below), whose sum is σ = 6331903119360. Its totient is φ = 553853127168.

The previous prime is 1943381911931. The next prime is 1943381911981. The reversal of 1943381911968 is 8691191833491.

1943381911968 is a `hidden beast` number, since 1 + 9 + 433 + 8 + 1 + 9 + 1 + 196 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 413728 + ... + 2014431.

It is an arithmetic number, because the mean of its divisors is an integer number (43971549440).

Almost surely, 21943381911968 is an apocalyptic number.

1943381911968 is a gapful number since it is divisible by the number (18) 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 1943381911968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3165951559680).

1943381911968 is an abundant number, since it is smaller than the sum of its proper divisors (4388521207392).

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

1943381911968 is a wasteful number, since it uses less digits than its factorization.

1943381911968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428579 (or 2428568 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 63.

The spelling of 1943381911968 in words is "one trillion, nine hundred forty-three billion, three hundred eighty-one million, nine hundred eleven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 397 504 672 794 1008 1191 1588 2016 2382 2779 3176 3573 4764 5558 6352 7146 8337 9528 11116 12704 14292 16674 19056 22232 25011 28584 33348 38112 44464 50022 57168 66696 88928 100044 114336 133392 200088 266784 400176 800352 2428159 4856318 7284477 9712636 14568954 16997113 19425272 21853431 29137908 33994226 38850544 43706862 50991339 58275816 67988452 77701088 87413724 101982678 116551632 135976904 152974017 174827448 203965356 233103264 271953808 305948034 349654896 407930712 543907616 611896068 699309792 815861424 963979123 1223792136 1631722848 1927958246 2447584272 2891937369 3855916492 4895168544 5783874738 6747853861 7711832984 8675812107 11567749476 13495707722 15423665968 17351624214 20243561583 23135498952 26991415444 30847331936 34703248428 40487123166 46270997904 53982830888 60730684749 69406496856 80974246332 92541995808 107965661776 121461369498 138812993712 161948492664 215931323552 242922738996 277625987424 323896985328 485845477992 647793970656 971690955984 1943381911968