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4867482746880 = 21532513318191
BaseRepresentation
bin100011011010100110010…
…0101001000000000000000
3122020022211020112011200100
41012311030211020000000
51114222101040400010
614204031331522400
71011443521460325
oct106651445100000
918208736464610
104867482746880
11160731912a956
12667426159400
1329400382c260
1412b831c58b4c
15869338c52c0
hex46d4c948000

4867482746880 has 768 divisors, whose sum is σ = 18760130887680. Its totient is φ = 1159358054400.

The previous prime is 4867482746839. The next prime is 4867482746933. The reversal of 4867482746880 is 886472847684.

It is a happy number.

4867482746880 is a `hidden beast` number, since 4 + 8 + 6 + 7 + 4 + 82 + 7 + 468 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4867482746799 and 4867482746808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 594243585 + ... + 594251775.

It is an arithmetic number, because the mean of its divisors is an integer number (24427253760).

Almost surely, 24867482746880 is an apocalyptic number.

4867482746880 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 4867482746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9380065443840).

4867482746880 is an abundant number, since it is smaller than the sum of its proper divisors (13892648140800).

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

4867482746880 is a wasteful number, since it uses less digits than its factorization.

4867482746880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8276 (or 8245 counting only the distinct ones).

The product of its (nonzero) digits is 924844032, while the sum is 72.

The spelling of 4867482746880 in words is "four trillion, eight hundred sixty-seven billion, four hundred eighty-two million, seven hundred forty-six thousand, eight hundred eighty".