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427504482456 = 23331739777541
BaseRepresentation
bin1100011100010010100…
…00001011100010011000
31111212110112002211212020
412032021100023202120
524001012121414311
6524220504414440
742612650100342
oct6161120134230
91455415084766
10427504482456
11155338154137
126aa2a477420
133140c9b332c
1416997006292
15b1c13cec06
hex638940b898

427504482456 has 64 divisors (see below), whose sum is σ = 1104731673600. Its totient is φ = 137717884800.

The previous prime is 427504482443. The next prime is 427504482481. The reversal of 427504482456 is 654284405724.

It is a junction number, because it is equal to n+sod(n) for n = 427504482399 and 427504482408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161046 + ... + 938586.

It is an arithmetic number, because the mean of its divisors is an integer number (17261432400).

Almost surely, 2427504482456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427504482456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552365836800).

427504482456 is an abundant number, since it is smaller than the sum of its proper divisors (677227191144).

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

427504482456 is a wasteful number, since it uses less digits than its factorization.

427504482456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778320 (or 778316 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 51.

The spelling of 427504482456 in words is "four hundred twenty-seven billion, five hundred four million, four hundred eighty-two thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 739 744 1478 2217 2956 4434 5912 8868 17736 22909 45818 68727 91636 137454 183272 274908 549816 777541 1555082 2332623 3110164 4665246 6220328 9330492 18660984 24103771 48207542 72311313 96415084 144622626 192830168 289245252 574602799 578490504 1149205598 1723808397 2298411196 3447616794 4596822392 6895233588 13790467176 17812686769 35625373538 53438060307 71250747076 106876120614 142501494152 213752241228 427504482456