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106744390717056 = 273412696735811
BaseRepresentation
bin11000010001010101011101…
…011111011000111010000000
3111222221122221010022112220120
4120101111131133120322000
5102442400003010421211
61015005410210140240
731325012340304221
oct3021253537307200
9458848833275816
10106744390717056
1131015050814a44
12bb7b940581680
134773c50557b51
141c50655693248
15c519ee9e9d06
hex61155d7d8e80

106744390717056 has 64 divisors (see below), whose sum is σ = 283546700464800. Its totient is φ = 35580596106240.

The previous prime is 106744390717031. The next prime is 106744390717073. The reversal of 106744390717056 is 650717093447601.

It is a happy number.

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

It is a super-2 number, since 2×1067443907170562 (a number of 29 digits) contains 22 as substring.

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, 12479391 + ... + 19215201.

Almost surely, 2106744390717056 is an apocalyptic number.

106744390717056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106744390717056 is an abundant number, since it is smaller than the sum of its proper divisors (176802309747744).

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

106744390717056 is an equidigital number, since it uses as much as digits as its factorization.

106744390717056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6777097 (or 6777085 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 60.

The spelling of 106744390717056 in words is "one hundred six trillion, seven hundred forty-four billion, three hundred ninety million, seven hundred seventeen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 41269 82538 123807 165076 247614 330152 495228 660304 990456 1320608 1980912 2641216 3961824 5282432 6735811 7923648 13471622 15847296 20207433 26943244 40414866 53886488 80829732 107772976 161659464 215545952 323318928 431091904 646637856 862183808 1293275712 2586551424 277980184159 555960368318 833940552477 1111920736636 1667881104954 2223841473272 3335762209908 4447682946544 6671524419816 8895365893088 13343048839632 17790731786176 26686097679264 35581463572352 53372195358528 106744390717056