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415400560520 = 235117113297073
BaseRepresentation
bin1100000101101111100…
…11011000011110001000
31110201012222102220102012
412002313303120132020
523301220020414040
6514455443355052
742004004335241
oct6026763303610
91421188386365
10415400560520
11150196872470
1268610982a88
1330231163b4a
1416169695cc8
15ac13982865
hex60b7cd8788

415400560520 has 64 divisors (see below), whose sum is σ = 1033980474240. Its totient is φ = 148927206400.

The previous prime is 415400560507. The next prime is 415400560541. The reversal of 415400560520 is 25065004514.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6617297 + ... + 6679776.

It is an arithmetic number, because the mean of its divisors is an integer number (16155944910).

Almost surely, 2415400560520 is an apocalyptic number.

415400560520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415400560520 is an abundant number, since it is smaller than the sum of its proper divisors (618579913720).

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

415400560520 is a wasteful number, since it uses less digits than its factorization.

415400560520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13297166 (or 13297162 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The spelling of 415400560520 in words is "four hundred fifteen billion, four hundred million, five hundred sixty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 71 88 110 142 220 284 355 440 568 710 781 1420 1562 2840 3124 3905 6248 7810 15620 31240 13297073 26594146 53188292 66485365 106376584 132970730 146267803 265941460 292535606 531882920 585071212 731339015 944092183 1170142424 1462678030 1888184366 2925356060 3776368732 4720460915 5850712120 7552737464 9440921830 10385014013 18881843660 20770028026 37763687320 41540056052 51925070065 83080112104 103850140130 207700280260 415400560520