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214107085467525 = 35219239974898363
BaseRepresentation
bin110000101011101010110000…
…110001011110111110000101
31001002002102210220202101202210
4300223222300301132332011
5211030412302334430100
62035211234233454033
763045504113310405
oct6053526061367605
91032072726671683
10214107085467525
1162248339a93718
122001b479871319
1392612999513a3
143ac2ba415a805
1519b463b274c50
hexc2bab0c5ef85

214107085467525 has 96 divisors (see below), whose sum is σ = 372871134720000. Its totient is φ = 108107960463360.

The previous prime is 214107085467523. The next prime is 214107085467559. The reversal of 214107085467525 is 525764580701412.

It is not a de Polignac number, because 214107085467525 - 21 = 214107085467523 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214107085467523) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25601703994 + ... + 25601712356.

It is an arithmetic number, because the mean of its divisors is an integer number (3884074320000).

Almost surely, 2214107085467525 is an apocalyptic number.

214107085467525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

214107085467525 is a deficient number, since it is larger than the sum of its proper divisors (158764049252475).

214107085467525 is a wasteful number, since it uses less digits than its factorization.

214107085467525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18283 (or 18278 counting only the distinct ones).

The product of its (nonzero) digits is 18816000, while the sum is 57.

The spelling of 214107085467525 in words is "two hundred fourteen trillion, one hundred seven billion, eighty-five million, four hundred sixty-seven thousand, five hundred twenty-five".

Divisors: 1 3 5 15 19 25 57 75 95 285 475 1425 2399 7197 7489 8363 11995 22467 25089 35985 37445 41815 45581 59975 112335 125445 136743 142291 158897 179925 187225 209075 227905 426873 476691 561675 627225 683715 711455 794485 1139525 2134365 2383455 3418575 3557275 3972425 10671825 11917275 17966111 20062837 53898333 60188511 62630507 89830555 100314185 187891521 269491665 300942555 313152535 341356109 381193903 449152775 501570925 939457605 1024068327 1143581709 1189979633 1347458325 1504712775 1565762675 1706780545 1905969515 3569938899 4697288025 5120341635 5717908545 5949898165 8533902725 9529847575 17849694495 25601708175 28589542725 29749490825 89248472475 150250586293 450751758879 751252931465 2253758794395 2854761139567 3756264657325 8564283418701 11268793971975 14273805697835 42821417093505 71369028489175 214107085467525