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2117085914328 = 2337111145609261
BaseRepresentation
bin11110110011101100001…
…001110110010011011000
321111101120100122120102120
4132303230021312103120
5234141242443224303
64300324214301240
7305645235232620
oct36635411662330
97441510576376
102117085914328
1174693a896240
122a237b957820
13124842ab8598
1474678b95880
153a10c210553
hex1ecec2764d8

2117085914328 has 64 divisors (see below), whose sum is σ = 6598709349120. Its totient is φ = 549892444800.

The previous prime is 2117085914323. The next prime is 2117085914423. The reversal of 2117085914328 is 8234195807112.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117085914323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 572802783 + ... + 572806478.

It is an arithmetic number, because the mean of its divisors is an integer number (103104833580).

Almost surely, 22117085914328 is an apocalyptic number.

2117085914328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2117085914328 is an abundant number, since it is smaller than the sum of its proper divisors (4481623434792).

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

2117085914328 is a wasteful number, since it uses less digits than its factorization.

2117085914328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145609288 (or 1145609284 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 2117085914328 in words is "two trillion, one hundred seventeen billion, eighty-five million, nine hundred fourteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 1145609261 2291218522 3436827783 4582437044 6873655566 8019264827 9164874088 12601701871 13747311132 16038529654 24057794481 25203403742 27494622264 32077059308 37805105613 48115588962 50406807484 64154118616 75610211226 88211913097 96231177924 100813614968 151220422452 176423826194 192462355848 264635739291 302440844904 352847652388 529271478582 705695304776 1058542957164 2117085914328