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468200071008 = 25321625694691
BaseRepresentation
bin1101101000000101110…
…01100001111101100000
31122202111200000221110200
412310002321201331200
530132333204233013
6555031012225200
745553301640165
oct6640271417540
91582450027420
10468200071008
1117062080914a
12768a730b200
13351c6bbc047
1418937b2006c
15c2a3eb6e73
hex6d02e61f60

468200071008 has 36 divisors (see below), whose sum is σ = 1331443952748. Its totient is φ = 156066690240.

The previous prime is 468200070977. The next prime is 468200071081. The reversal of 468200071008 is 800170002864.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×4682000710082 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 812847058 + ... + 812847633.

It is an arithmetic number, because the mean of its divisors is an integer number (36984554243).

Almost surely, 2468200071008 is an apocalyptic number.

468200071008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

468200071008 is an abundant number, since it is smaller than the sum of its proper divisors (863243881740).

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

468200071008 is a wasteful number, since it uses less digits than its factorization.

468200071008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625694707 (or 1625694696 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 468200071008 in words is "four hundred sixty-eight billion, two hundred million, seventy-one thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1625694691 3251389382 4877084073 6502778764 9754168146 13005557528 14631252219 19508336292 26011115056 29262504438 39016672584 52022230112 58525008876 78033345168 117050017752 156066690336 234100035504 468200071008