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960686081334 = 2327235312315081
BaseRepresentation
bin11011111101011010101…
…10100100010100110110
310101211200212100102122100
431332231112210110312
5111214441114100314
62013155540442530
7126256460646240
oct15765526442466
93354625312570
10960686081334
1134047427aa21
1213622b9a9446
136c7913c1285
14346d702d090
1519eca102c09
hexdfad5a4536

960686081334 has 192 divisors, whose sum is σ = 2531657576448. Its totient is φ = 257334105600.

The previous prime is 960686081273. The next prime is 960686081339. The reversal of 960686081334 is 433180686069.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (960686081339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 189071674 + ... + 189076754.

It is an arithmetic number, because the mean of its divisors is an integer number (13185716544).

Almost surely, 2960686081334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 960686081334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265828788224).

960686081334 is an abundant number, since it is smaller than the sum of its proper divisors (1570971495114).

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

960686081334 is a wasteful number, since it uses less digits than its factorization.

960686081334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6403 (or 6400 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 960686081334 in words is "nine hundred sixty billion, six hundred eighty-six million, eighty-one thousand, three hundred thirty-four".