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468312894108 = 2235991486179
BaseRepresentation
bin1101101000010011001…
…11111010101010011100
31122202210112022221200000
412310021213322222130
530133101100102413
6555050122334300
745556141630413
oct6641147725234
91582715287600
10468312894108
11170679468884
127691905a390
13352143a2387
1418948acc47a
15c2add51073
hex6d099faa9c

468312894108 has 72 divisors (see below), whose sum is σ = 1228876346880. Its totient is φ = 155946455280.

The previous prime is 468312894107. The next prime is 468312894149. The reversal of 468312894108 is 801498213864.

It is a happy number.

It is a super-2 number, since 2×4683128941082 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468312894103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 720163 + ... + 1206341.

It is an arithmetic number, because the mean of its divisors is an integer number (17067727040).

Almost surely, 2468312894108 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 468312894108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614438173440).

468312894108 is an abundant number, since it is smaller than the sum of its proper divisors (760563452772).

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

468312894108 is a wasteful number, since it uses less digits than its factorization.

468312894108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487189 (or 487175 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 468312894108 in words is "four hundred sixty-eight billion, three hundred twelve million, eight hundred ninety-four thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 991 1982 2973 3964 5946 8919 11892 17838 26757 35676 53514 80271 107028 160542 240813 321084 481626 486179 963252 972358 1458537 1944716 2917074 4375611 5834148 8751222 13126833 17502444 26253666 39380499 52507332 78760998 118141497 157521996 236282994 472565988 481803389 963606778 1445410167 1927213556 2890820334 4336230501 5781640668 8672461002 13008691503 17344922004 26017383006 39026074509 52034766012 78052149018 117078223527 156104298036 234156447054 468312894108