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483064119256320 = 2835571997120383
BaseRepresentation
bin110110111010110000010000…
…1001110110110010100000000
32100100101110221001002010100000
41231311200201032312110000
51001304010304012200240
64431220332013200000
7203515142125024320
oct15565404116662400
92310343831063300
10483064119256320
1112aa12384956838
1246219090190000
131797099bbb5004
1487405dcaa3280
153aca91648e430
hex1b758213b6500

483064119256320 has 1728 divisors, whose sum is σ = 2106630472826880. Its totient is φ = 103524113055744.

The previous prime is 483064119256217. The next prime is 483064119256343. The reversal of 483064119256320 is 23652911460384.

It is a happy number.

483064119256320 is a `hidden beast` number, since 4 + 8 + 3 + 0 + 6 + 41 + 19 + 2 + 563 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4012666849 + ... + 4012787231.

It is an arithmetic number, because the mean of its divisors is an integer number (1219114856960).

Almost surely, 2483064119256320 is an apocalyptic number.

483064119256320 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 483064119256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053315236413440).

483064119256320 is an abundant number, since it is smaller than the sum of its proper divisors (1623566353570560).

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

483064119256320 is a wasteful number, since it uses less digits than its factorization.

483064119256320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120542 (or 120516 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 483064119256320 in words is "four hundred eighty-three trillion, sixty-four billion, one hundred nineteen million, two hundred fifty-six thousand, three hundred twenty".