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482519161080 = 233551119232449
BaseRepresentation
bin1110000010110000110…
…00100001100011111000
31201010110120221002100000
413001120120201203320
530401144401123310
61005355524113000
746601163124365
oct7013030414370
91633416832300
10482519161080
111766a953a490
1279622835760
1336669650bc8
14194d573946c
15c84112a4c0
hex70586218f8

482519161080 has 1152 divisors, whose sum is σ = 1956558240000. Its totient is φ = 105763553280.

The previous prime is 482519161067. The next prime is 482519161087. The reversal of 482519161080 is 80161915284.

It is a happy number.

482519161080 is a `hidden beast` number, since 4 + 8 + 25 + 1 + 9 + 1 + 610 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482519161087) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1074652696 + ... + 1074653144.

It is an arithmetic number, because the mean of its divisors is an integer number (1698401250).

Almost surely, 2482519161080 is an apocalyptic number.

482519161080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482519161080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978279120000).

482519161080 is an abundant number, since it is smaller than the sum of its proper divisors (1474039078920).

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

482519161080 is a wasteful number, since it uses less digits than its factorization.

482519161080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 482519161080 in words is "four hundred eighty-two billion, five hundred nineteen million, one hundred sixty-one thousand, eighty".