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1116645275808 = 253217454750159
BaseRepresentation
bin10000001111111101001…
…111101011100010100000
310221202020221002101112100
4100033331033223202200
5121243342142311213
62212551343330400
7143450340144306
oct20177517534240
93852227071470
101116645275808
113a0626169087
121604b62b0a00
13813b74500ba
143c09000a276
151e0a6e59773
hex103fd3eb8a0

1116645275808 has 144 divisors (see below), whose sum is σ = 3363058258560. Its totient is φ = 350236059648.

The previous prime is 1116645275803. The next prime is 1116645275827. The reversal of 1116645275808 is 8085725466111.

1116645275808 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 6 + 4 + 52 + 7 + 580 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1116645275803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22237033 + ... + 22287191.

It is an arithmetic number, because the mean of its divisors is an integer number (23354571240).

Almost surely, 21116645275808 is an apocalyptic number.

1116645275808 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 1116645275808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681529129280).

1116645275808 is an abundant number, since it is smaller than the sum of its proper divisors (2246412982752).

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

1116645275808 is a wasteful number, since it uses less digits than its factorization.

1116645275808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54739 (or 54728 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 1116645275808 in words is "one trillion, one hundred sixteen billion, six hundred forty-five million, two hundred seventy-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4547 4896 9094 13641 18188 27282 36376 40923 50159 54564 72752 77299 81846 100318 109128 145504 150477 154598 163692 200636 218256 231897 300954 309196 327384 401272 436512 451431 463794 601908 618392 654768 695691 802544 852703 902862 927588 1203816 1236784 1309536 1391382 1605088 1705406 1805724 1855176 2407632 2473568 2558109 2782764 3410812 3611448 3710352 4815264 5116218 5565528 6821624 7222896 7420704 7674327 10232436 11131056 13643248 14445792 15348654 20464872 22262112 27286496 30697308 40929744 61394616 81859488 122789232 228072973 245578464 456145946 684218919 912291892 1368437838 1824583784 2052656757 2736875676 3649167568 3877240541 4105313514 5473751352 7298335136 7754481082 8210627028 10947502704 11631721623 15508962164 16421254056 21895005408 23263443246 31017924328 32842508112 34895164869 46526886492 62035848656 65685016224 69790329738 93053772984 124071697312 139580659476 186107545968 279161318952 372215091936 558322637904 1116645275808