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415145076885 = 325711983121883
BaseRepresentation
bin1100000101010001001…
…00110010100010010101
31110200120011200222202100
412002220210302202111
523300204114430020
6514414235432313
741664452634060
oct6025044624225
91420504628670
10415145076885
11150075633870
126855b2b5699
13301c02514b6
141614378d8d7
15abeb318a90
hex60a8932895

415145076885 has 96 divisors (see below), whose sum is σ = 898064713728. Its totient is φ = 172350898560.

The previous prime is 415145076883. The next prime is 415145076901. The reversal of 415145076885 is 588670541514.

415145076885 is a `hidden beast` number, since 4 + 1 + 51 + 4 + 507 + 6 + 8 + 85 = 666.

It is not a de Polignac number, because 415145076885 - 21 = 415145076883 is a prime.

It is a super-2 number, since 2×4151450768852 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415145076883) 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, 3345154 + ... + 3467036.

It is an arithmetic number, because the mean of its divisors is an integer number (9354840768).

Almost surely, 2415145076885 is an apocalyptic number.

415145076885 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

415145076885 is an abundant number, since it is smaller than the sum of its proper divisors (482919636843).

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

415145076885 is a wasteful number, since it uses less digits than its factorization.

415145076885 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122895 (or 122892 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

The spelling of 415145076885 in words is "four hundred fifteen billion, one hundred forty-five million, seventy-six thousand, eight hundred eighty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 983 1155 2949 3465 4915 6881 8847 10813 14745 20643 32439 34405 44235 54065 61929 75691 97317 103215 121883 162195 227073 309645 365649 378455 486585 609415 681219 853181 1096947 1135365 1340713 1828245 2559543 3406095 4022139 4265905 5484735 6703565 7678629 9384991 12066417 12797715 20110695 28154973 38393145 46924955 60332085 84464919 119810989 140774865 359432967 422324595 599054945 838676923 1078298901 1317920879 1797164835 2516030769 3953762637 4193384615 5391494505 6589604395 7548092307 9225446153 11861287911 12580153845 19768813185 27676338459 37740461535 46127230765 59306439555 83029015377 138381692295 415145076885