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465325378068 = 223192975739293
BaseRepresentation
bin1101100010101111000…
…11011100101000010100
31122111002022210102002210
412301113203130220110
530110441244044233
6553433441433420
745422124311205
oct6612743345024
91574068712083
10465325378068
1116a386054861
127622463b870
1334b5946c1c5
14187440155ac
15c186926163
hex6c578dca14

465325378068 has 96 divisors (see below), whose sum is σ = 1182598300800. Its totient is φ = 141843792384.

The previous prime is 465325378057. The next prime is 465325378069. The reversal of 465325378068 is 860873523564.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 465325377999 and 465325378017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465325378069) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 50068030 + ... + 50077322.

It is an arithmetic number, because the mean of its divisors is an integer number (12318732300).

Almost surely, 2465325378068 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 465325378068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591299150400).

465325378068 is an abundant number, since it is smaller than the sum of its proper divisors (717272922732).

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

465325378068 is a wasteful number, since it uses less digits than its factorization.

465325378068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16921 (or 16919 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 57.

The spelling of 465325378068 in words is "four hundred sixty-five billion, three hundred twenty-five million, three hundred seventy-eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 19 29 38 57 58 76 87 114 116 174 228 348 551 1102 1653 2204 3306 6612 7573 9293 15146 18586 22719 27879 30292 37172 45438 55758 90876 111516 143887 176567 219617 269497 287774 353134 431661 439234 529701 538994 575548 658851 706268 808491 863322 878468 1059402 1077988 1317702 1616982 1726644 2118804 2635404 3233964 4172723 5120443 8345446 10240886 12518169 15361329 16690892 20481772 25036338 30722658 50072676 61445316 70375889 140751778 211127667 281503556 422255334 844510668 1337141891 2040900781 2674283782 4011425673 4081801562 5348567564 6122702343 8022851346 8163603124 12245404686 16045702692 24490809372 38777114839 77554229678 116331344517 155108459356 232662689034 465325378068