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11682182016357 = 3295919930737253
BaseRepresentation
bin1010100111111111100001…
…0011110010110101100101
31112100210202100110201112020
42221333320103302311211
53012400102044010412
640502415331413353
72314003234511556
oct251777023626545
945323670421466
1011682182016357
1137a4427215796
121388103154259
1366981828c2b8
142c55c62b032d
15153d3135e18c
hexa9ff84f2d65

11682182016357 has 64 divisors (see below), whose sum is σ = 16522894080000. Its totient is φ = 7330814523648.

The previous prime is 11682182016247. The next prime is 11682182016371. The reversal of 11682182016357 is 75361028128611.

It is not a de Polignac number, because 11682182016357 - 27 = 11682182016229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11682182017357) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 313571743 + ... + 313608995.

It is an arithmetic number, because the mean of its divisors is an integer number (258170220000).

Almost surely, 211682182016357 is an apocalyptic number.

It is an amenable number.

11682182016357 is a deficient number, since it is larger than the sum of its proper divisors (4840712063643).

11682182016357 is a wasteful number, since it uses less digits than its factorization.

11682182016357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37850.

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

The spelling of 11682182016357 in words is "eleven trillion, six hundred eighty-two billion, one hundred eighty-two million, sixteen thousand, three hundred fifty-seven".

Divisors: 1 3 29 59 87 177 199 307 597 921 1711 5133 5771 8903 11741 17313 18113 26709 35223 37253 54339 61093 111759 183279 340489 525277 1021467 1080337 1575831 1771697 2197927 3241011 3604487 5315091 6593781 7413347 10813461 11436671 22240041 34310013 63739883 104530123 191219649 214987063 313590369 331663459 437387473 644961189 674763589 994990377 1312162419 2024290767 2275897529 6827692587 12684236717 19568144081 38052710151 58704432243 66001028341 134277954211 198003085023 402833862633 3894060672119 11682182016357