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488071000832 = 284183560249
BaseRepresentation
bin1110001101000110100…
…11000111001100000000
31201122210111200202201112
413012203103013030000
530444032134011312
61012114451222452
750155566025202
oct7064323071400
91648714622645
10488071000832
11178a983a08a8
127a711ba7a28
133704291549c
14198a0c08772
15ca68739d22
hex71a34c7300

488071000832 has 72 divisors (see below), whose sum is σ = 1010023182000. Its totient is φ = 235214520320.

The previous prime is 488071000829. The next prime is 488071000871. The reversal of 488071000832 is 238000170884.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a self number, because there is not a number n which added to its sum of digits gives 488071000832.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 591044 + ... + 1151292.

It is an arithmetic number, because the mean of its divisors is an integer number (14028099750).

Almost surely, 2488071000832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488071000832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505011591000).

488071000832 is an abundant number, since it is smaller than the sum of its proper divisors (521952181168).

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

488071000832 is an equidigital number, since it uses as much as digits as its factorization.

488071000832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560389 (or 560375 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 41.

The spelling of 488071000832 in words is "four hundred eighty-eight billion, seventy-one million, eight hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 41 64 82 83 128 164 166 256 328 332 656 664 1312 1328 2624 2656 3403 5248 5312 6806 10496 10624 13612 21248 27224 54448 108896 217792 435584 560249 871168 1120498 2240996 4481992 8963984 17927968 22970209 35855936 45940418 46500667 71711872 91880836 93001334 143423744 183761672 186002668 367523344 372005336 735046688 744010672 1470093376 1488021344 1906527347 2940186752 2976042688 3813054694 5880373504 5952085376 7626109388 11904170752 15252218776 30504437552 61008875104 122017750208 244035500416 488071000832