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468373282373864 = 23766119037664667
BaseRepresentation
bin110101001111110111010011…
…1000111100100000011101000
32021102101001022100200101001102
41222133232213013210003220
5442342311440241430424
64340051414314140532
7200440565364623510
oct15237564707440350
92242331270611042
10468373282373864
11126268aa248537a
1244645a68721748
1317146545cb6b9a
148393560286840
1539236e5b867ae
hex1a9fba71e40e8

468373282373864 has 64 divisors (see below), whose sum is σ = 1005229739064960. Its totient is φ = 200416898499840.

The previous prime is 468373282373839. The next prime is 468373282373921.

468373282373864 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 468373282373791 and 468373282373800.

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, 704341259 + ... + 705005925.

It is an arithmetic number, because the mean of its divisors is an integer number (15706714672890).

Almost surely, 2468373282373864 is an apocalyptic number.

It is an amenable number.

468373282373864 is an abundant number, since it is smaller than the sum of its proper divisors (536856456691096).

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

468373282373864 is a wasteful number, since it uses less digits than its factorization.

468373282373864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684378 (or 684374 counting only the distinct ones).

The product of its digits is 4682022912, while the sum is 74.

The spelling of 468373282373864 in words is "four hundred sixty-eight trillion, three hundred seventy-three billion, two hundred eighty-two million, three hundred seventy-three thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 56 661 1322 2644 4627 5288 9254 18508 19037 37016 38074 76148 133259 152296 266518 533036 664667 1066072 1329334 2658668 4652669 5317336 9305338 12583457 18610676 25166914 37221352 50333828 88084199 100667656 176168398 352336796 439344887 704673592 878689774 1757379548 3075414209 3514759096 6150828418 12301656836 12653265679 24603313672 25306531358 50613062716 88572859753 101226125432 177145719506 354291439012 708582878024 8363808613819 16727617227638 33455234455276 58546660296733 66910468910552 117093320593466 234186641186932 468373282373864