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689441739840 = 2632571971101251
BaseRepresentation
bin10100000100001011110…
…11100001010001000000
32102220120101021012122100
422002011323201101000
542243434041133330
61244420345110400
7100545003044640
oct12020573412100
92386511235570
10689441739840
11246432985557
12b1750788400
1350024c09619
1425524d82520
1512e021c4060
hexa085ee1440

689441739840 has 1344 divisors, whose sum is σ = 2933266452480. Its totient is φ = 145152000000.

The previous prime is 689441739827. The next prime is 689441739841. The reversal of 689441739840 is 48937144986.

689441739840 is a `hidden beast` number, since 6 + 8 + 94 + 417 + 3 + 98 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (689441739841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2746779715 + ... + 2746779965.

It is an arithmetic number, because the mean of its divisors is an integer number (2182489920).

Almost surely, 2689441739840 is an apocalyptic number.

689441739840 is a gapful number since it is divisible by the number (60) 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 689441739840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466633226240).

689441739840 is an abundant number, since it is smaller than the sum of its proper divisors (2243824712640).

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

689441739840 is a wasteful number, since it uses less digits than its factorization.

689441739840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 689441739840 in words is "six hundred eighty-nine billion, four hundred forty-one million, seven hundred thirty-nine thousand, eight hundred forty".