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482700102840 = 233254161975527
BaseRepresentation
bin1110000011000110010…
…10110000110010111000
31201010221012101212202200
413001203022300302320
530402032211242330
61005425510230200
746605521114364
oct7014312606270
91633835355680
10482700102840
1117679169572a
1279673355360
1336697c94637
141951179a2a4
15c851e6ca60
hex70632b0cb8

482700102840 has 384 divisors, whose sum is σ = 1650520609920. Its totient is φ = 122226278400.

The previous prime is 482700102823. The next prime is 482700102851. The reversal of 482700102840 is 48201007284.

482700102840 is a `hidden beast` number, since 482 + 70 + 0 + 102 + 8 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 482700102795 and 482700102804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87332157 + ... + 87337683.

It is an arithmetic number, because the mean of its divisors is an integer number (4298230755).

Almost surely, 2482700102840 is an apocalyptic number.

482700102840 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 482700102840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825260304960).

482700102840 is an abundant number, since it is smaller than the sum of its proper divisors (1167820507080).

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

482700102840 is a wasteful number, since it uses less digits than its factorization.

482700102840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5743 (or 5736 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 482700102840 in words is "four hundred eighty-two billion, seven hundred million, one hundred two thousand, eight hundred forty".