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18074192273712 = 2433128332609827
BaseRepresentation
bin1000001110000001110011…
…10011110110000100110000
32100222212122112110122222000
410013000321303312010300
54332111421210224322
6102235100323014000
73543550222314531
oct407007163660460
970885575418860
1018074192273712
115839249388643
12203aa9650a300
13a11509899053
14466b1d0a8688
1521524056e3ac
hex107039cf6130

18074192273712 has 80 divisors (see below), whose sum is σ = 51920063748480. Its totient is φ = 6020034758208.

The previous prime is 18074192273647. The next prime is 18074192273713. The reversal of 18074192273712 is 21737229147081.

18074192273712 is a `hidden beast` number, since 1 + 8 + 0 + 7 + 41 + 9 + 227 + 371 + 2 = 666.

It is a super-2 number, since 2×180741922737122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (18074192273713) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15750658 + ... + 16859169.

It is an arithmetic number, because the mean of its divisors is an integer number (649000796856).

Almost surely, 218074192273712 is an apocalyptic number.

18074192273712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18074192273712 is an abundant number, since it is smaller than the sum of its proper divisors (33845871474768).

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

18074192273712 is a wasteful number, since it uses less digits than its factorization.

18074192273712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32611127 (or 32611115 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 18074192273712 in words is "eighteen trillion, seventy-four billion, one hundred ninety-two million, two hundred seventy-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1283 2566 3849 5132 7698 10264 11547 15396 20528 23094 30792 34641 46188 61584 69282 92376 138564 184752 277128 554256 32609827 65219654 97829481 130439308 195658962 260878616 293488443 391317924 521757232 586976886 782635848 880465329 1173953772 1565271696 1760930658 2347907544 3521861316 4695815088 7043722632 14087445264 41838408041 83676816082 125515224123 167353632164 251030448246 334707264328 376545672369 502060896492 669414528656 753091344738 1004121792984 1129637017107 1506182689476 2008243585968 2259274034214 3012365378952 4518548068428 6024730757904 9037096136856 18074192273712