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505328585475 = 352728910391487
BaseRepresentation
bin1110101101001111110…
…11100100101100000011
31210022100012212220100010
413112213323210230003
531234403104213400
61024051133200003
751336341051100
oct7264773445403
91708305786303
10505328585475
111853438a364a
1281b29630003
13388630a562c
141a65abb9aa7
15d228843450
hex75a7ee4b03

505328585475 has 144 divisors (see below), whose sum is σ = 984408422400. Its totient is φ = 228038469120.

The previous prime is 505328585393. The next prime is 505328585483. The reversal of 505328585475 is 574585823505.

It is a happy number.

It is not a de Polignac number, because 505328585475 - 29 = 505328584963 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 339830182 + ... + 339831668.

It is an arithmetic number, because the mean of its divisors is an integer number (6836169600).

Almost surely, 2505328585475 is an apocalyptic number.

505328585475 is a deficient number, since it is larger than the sum of its proper divisors (479079836925).

505328585475 is a wasteful number, since it uses less digits than its factorization.

505328585475 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2642 (or 2630 counting only the distinct ones).

The product of its (nonzero) digits is 33600000, while the sum is 57.

The spelling of 505328585475 in words is "five hundred five billion, three hundred twenty-eight million, five hundred eighty-five thousand, four hundred seventy-five".

Divisors: 1 3 5 7 15 21 25 35 49 75 89 105 147 175 245 267 445 525 623 735 1039 1225 1335 1487 1869 2225 3115 3117 3675 4361 4461 5195 6675 7273 7435 9345 10409 13083 15575 15585 21805 21819 22305 25975 31227 36365 37175 46725 50911 52045 65415 72863 77925 92471 109025 109095 111525 132343 152733 156135 181825 218589 254555 260225 277413 327075 364315 397029 462355 545475 647297 661715 763665 780675 926401 1092945 1272775 1387065 1544993 1821575 1941891 1985145 2311775 2779203 3236485 3308575 3818325 4531079 4632005 4634979 5464725 6484807 6935325 7724965 9709455 9925725 10814951 13593237 13896015 16182425 19454421 22655395 23160025 23174895 32424035 32444853 38624825 48547275 54074755 67966185 69480075 75704657 97272105 113276975 115874475 137504377 162120175 162224265 227113971 270373775 339830925 378523285 412513131 486360525 687521885 811121325 962530639 1135569855 1892616425 2062565655 2887591917 3437609425 4812653195 5677849275 6737714473 10312828275 14437959585 20213143419 24063265975 33688572365 72189797925 101065717095 168442861825 505328585475