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468328124160 = 28335131983661
BaseRepresentation
bin1101101000010101000…
…10000000111100000000
31122202211120222201101000
412310022202000330000
530133113444433120
6555051425012000
745556415242041
oct6641242007400
91582746881330
10468328124160
111706870203a6
1276922184000
13352175a5640
141894ab348c8
15c2b035d990
hex6d0a880f00

468328124160 has 1152 divisors, whose sum is σ = 1909534233600. Its totient is φ = 107734302720.

The previous prime is 468328124129. The next prime is 468328124269. The reversal of 468328124160 is 61421823864.

468328124160 is a `hidden beast` number, since 46 + 8 + 328 + 124 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 708514230 + ... + 708514890.

It is an arithmetic number, because the mean of its divisors is an integer number (1657581800).

Almost surely, 2468328124160 is an apocalyptic number.

468328124160 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 468328124160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954767116800).

468328124160 is an abundant number, since it is smaller than the sum of its proper divisors (1441206109440).

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

468328124160 is a wasteful number, since it uses less digits than its factorization.

468328124160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 468328124160 in words is "four hundred sixty-eight billion, three hundred twenty-eight million, one hundred twenty-four thousand, one hundred sixty".