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480825354412648 = 23722971412856039
BaseRepresentation
bin110110101010011101110000…
…0011100101110001001101000
32100001110110021200001111022201
41231110323200130232021220
51001010320311212201043
64422344041325025544
7203164325342602300
oct15524734034561150
92301413250044281
10480825354412648
1112a229984524a73
1245b172123b52b4
131783a83713266b
1486a40dda06600
153a8c586bd7c4d
hex1b54ee072e268

480825354412648 has 48 divisors (see below), whose sum is σ = 1049091969002400. Its totient is φ = 205998648720480.

The previous prime is 480825354412633. The next prime is 480825354412721. The reversal of 480825354412648 is 846214453528084.

It is a super-3 number, since 3×4808253544126483 (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 480825354412648.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 205263388 + ... + 207592651.

It is an arithmetic number, because the mean of its divisors is an integer number (21856082687550).

Almost surely, 2480825354412648 is an apocalyptic number.

It is an amenable number.

480825354412648 is an abundant number, since it is smaller than the sum of its proper divisors (568266614589752).

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

480825354412648 is a wasteful number, since it uses less digits than its factorization.

480825354412648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412859030 (or 412859019 counting only the distinct ones).

The product of its (nonzero) digits is 235929600, while the sum is 64.

The spelling of 480825354412648 in words is "four hundred eighty trillion, eight hundred twenty-five billion, three hundred fifty-four million, four hundred twelve thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 2971 5942 11884 20797 23768 41594 83188 145579 166376 291158 582316 1164632 412856039 825712078 1651424156 2889992273 3302848312 5779984546 11559969092 20229945911 23119938184 40459891822 80919783644 161839567288 1226595291869 2453190583738 4906381167476 8586167043083 9812762334952 17172334086166 34344668172332 60103169301581 68689336344664 120206338603162 240412677206324 480825354412648