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419893840485 = 325719405717293
BaseRepresentation
bin1100001110000111001…
…11111000101001100101
31111010211010100011202200
412013003213320221211
523334420310343420
6520521354125113
742223234516650
oct6070347705145
91433733304680
10419893840485
11152092143189
1269465720799
13307990269a2
1416474332897
15adc8194b90
hex61c39f8a65

419893840485 has 96 divisors (see below), whose sum is σ = 875834568960. Its totient is φ = 181793424384.

The previous prime is 419893840481. The next prime is 419893840517. The reversal of 419893840485 is 584048398914.

419893840485 is a `hidden beast` number, since 4 + 1 + 9 + 89 + 38 + 40 + 485 = 666.

It is not a de Polignac number, because 419893840485 - 22 = 419893840481 is a prime.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419893840481) 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, 24272499 + ... + 24289791.

It is an arithmetic number, because the mean of its divisors is an integer number (9123276760).

Almost surely, 2419893840485 is an apocalyptic number.

419893840485 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

419893840485 is an abundant number, since it is smaller than the sum of its proper divisors (455940728475).

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

419893840485 is a wasteful number, since it uses less digits than its factorization.

419893840485 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21387 (or 21384 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 419893840485 in words is "four hundred nineteen billion, eight hundred ninety-three million, eight hundred forty thousand, four hundred eighty-five".

Divisors: 1 3 5 7 9 15 19 21 35 45 57 63 95 105 133 171 285 315 399 665 855 1197 1995 4057 5985 12171 17293 20285 28399 36513 51879 60855 77083 85197 86465 121051 141995 155637 182565 231249 255591 259395 328567 363153 385415 425985 539581 605255 693747 778185 985701 1089459 1156245 1277955 1618743 1642835 1815765 2299969 2697905 2957103 3468735 4856229 4928505 5447295 6899907 8093715 11499845 14785515 20699721 24281145 34499535 70157701 103498605 210473103 350788505 491103907 631419309 1052365515 1332996319 1473311721 2455519535 3157096545 3998988957 4419935163 6664981595 7366558605 9330974233 11996966871 19994944785 22099675815 27992922699 46654871165 59984834355 83978768097 139964613495 419893840485