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468483437560 = 23596231217093
BaseRepresentation
bin1101101000100111100…
…10011111001111111000
31122210020102020110022011
412310103302133033320
530133423230000220
6555115053535304
745563312341555
oct6642362371770
91583212213264
10468483437560
11170756761686
12769661a4534
1335240814b68
1418963603a2c
15c2bdcdc65a
hex6d13c9f3f8

468483437560 has 32 divisors (see below), whose sum is σ = 1054198139040. Its totient is φ = 187373747584.

The previous prime is 468483437531. The next prime is 468483437593. The reversal of 468483437560 is 65734384864.

It is a junction number, because it is equal to n+sod(n) for n = 468483437495 and 468483437504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223627 + ... + 993466.

It is an arithmetic number, because the mean of its divisors is an integer number (32943691845).

Almost surely, 2468483437560 is an apocalyptic number.

468483437560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468483437560 is an abundant number, since it is smaller than the sum of its proper divisors (585714701480).

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

468483437560 is a wasteful number, since it uses less digits than its factorization.

468483437560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226727 (or 1226723 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 58.

The spelling of 468483437560 in words is "four hundred sixty-eight billion, four hundred eighty-three million, four hundred thirty-seven thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 9623 19246 38492 48115 76984 96230 192460 384920 1217093 2434186 4868372 6085465 9736744 12170930 24341860 48683720 11712085939 23424171878 46848343756 58560429695 93696687512 117120859390 234241718780 468483437560