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682283238912 = 29321189151241
BaseRepresentation
bin10011110110110110100…
…00000000011000000000
32102020002111021200110100
421323123100000120000
542134304002121122
61241234145402400
7100202420561562
oct11733320003000
92366074250410
10682283238912
1124339a112890
12b0293339400
134c453b19362
1425046367332
1512b339ebaac
hex9edb400600

682283238912 has 240 divisors, whose sum is σ = 2172276746640. Its totient is φ = 204428083200.

The previous prime is 682283238851. The next prime is 682283238919. The reversal of 682283238912 is 219832382286.

682283238912 is a `hidden beast` number, since 6 + 8 + 228 + 32 + 389 + 1 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682283238919) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4435612 + ... + 4586852.

It is an arithmetic number, because the mean of its divisors is an integer number (9051153111).

Almost surely, 2682283238912 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 682283238912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086138373320).

682283238912 is an abundant number, since it is smaller than the sum of its proper divisors (1489993507728).

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

682283238912 is a wasteful number, since it uses less digits than its factorization.

682283238912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151365 (or 151346 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 682283238912 in words is "six hundred eighty-two billion, two hundred eighty-three million, two hundred thirty-eight thousand, nine hundred twelve".