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6557114031237 = 38711115311257
BaseRepresentation
bin101111101101011001001…
…1100111101110010000101
3212012212001112212200000000
41133122302130331302011
51324412432142444422
621540144022111513
71244510253434250
oct137326234756205
925185045780000
106557114031237
1120a8946a21960
1289a99027b599
1338744406a713
1418951a4a4097
15b5873ca1cac
hex5f6b273dc85

6557114031237 has 144 divisors (see below), whose sum is σ = 12273756922752. Its totient is φ = 3403036385280.

The previous prime is 6557114031187. The next prime is 6557114031263. The reversal of 6557114031237 is 7321304117556.

6557114031237 is a `hidden beast` number, since 6 + 5 + 5 + 7 + 1 + 1 + 403 + 1 + 237 = 666.

It is not a de Polignac number, because 6557114031237 - 215 = 6557113998469 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6557114031192 and 6557114031201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6557114031137) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 582486513 + ... + 582497769.

Almost surely, 26557114031237 is an apocalyptic number.

It is an amenable number.

6557114031237 is a deficient number, since it is larger than the sum of its proper divisors (5716642891515).

6557114031237 is a wasteful number, since it uses less digits than its factorization.

6557114031237 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12452 (or 12431 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 6557114031237 in words is "six trillion, five hundred fifty-seven billion, one hundred fourteen million, thirty-one thousand, two hundred thirty-seven".

Divisors: 1 3 7 9 11 21 27 33 63 77 81 99 189 231 243 297 567 693 729 891 1153 1701 2079 2187 2673 3459 5103 6237 6561 8019 8071 10377 11257 12683 15309 18711 24057 24213 31131 33771 38049 45927 56133 72171 72639 78799 88781 93393 101313 114147 123827 168399 217917 236397 266343 280179 303939 342441 371481 505197 653751 709191 799029 840537 866789 911817 1027323 1114443 1961253 2127573 2397087 2521611 2600367 2735451 3081969 3343329 5883759 6382719 7191261 7564833 7801101 8206353 9245907 10029987 12979321 17651277 19148157 21573783 23403303 24619059 27737721 30089961 38937963 52953831 57444471 64721349 70209909 73857177 83213163 90269883 90855247 116813889 142772531 172333413 194164047 210629727 270809649 272565741 350441667 428317593 517000239 582492141 631889181 812428947 817697223 999407717 1051325001 1284952779 1895667543 2453091669 2998223151 3153975003 3854858337 5687002629 7359275007 8994669453 9461925009 11564575011 22077825021 26984008359 28385775027 34693725033 66233475063 80952025077 85157325081 104081175099 198700425189 242856075231 312243525297 596101275567 728568225693 936730575891 2185704677079 6557114031237