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10342160260560 = 243251937137149143
BaseRepresentation
bin1001011001111111100011…
…0010011101110111010000
31100121200220221010102110100
42112133320302131313100
52323421221011314220
633555042310532400
72115124241515332
oct226377062356720
940550827112410
1010342160260560
1133280a3936067
1211b0468667100
135a0352765c6b
1427a7c56d3452
1512e053aa5d90
hex967f8c9ddd0

10342160260560 has 480 divisors, whose sum is σ = 37822894536960. Its totient is φ = 2523568545792.

The previous prime is 10342160260499. The next prime is 10342160260591. The reversal of 10342160260560 is 6506206124301.

10342160260560 is a `hidden beast` number, since 1 + 0 + 3 + 42 + 1 + 6 + 0 + 2 + 605 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69269349 + ... + 69418491.

It is an arithmetic number, because the mean of its divisors is an integer number (78797696952).

Almost surely, 210342160260560 is an apocalyptic number.

10342160260560 is a gapful number since it is divisible by the number (10) 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 10342160260560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18911447268480).

10342160260560 is an abundant number, since it is smaller than the sum of its proper divisors (27480734276400).

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

10342160260560 is a wasteful number, since it uses less digits than its factorization.

10342160260560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149355 (or 149346 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 10342160260560 its reverse (6506206124301), we get a palindrome (16848366384861).

The spelling of 10342160260560 in words is "ten trillion, three hundred forty-two billion, one hundred sixty million, two hundred sixty thousand, five hundred sixty".