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169680544157664 = 25332941532127463
BaseRepresentation
bin100110100101001011010100…
…100011110100111111100000
3211020210022010212102002002000
4212211023110203310333200
5134220021223301021124
61400514055454524000
750512005031015341
oct4645132443647740
9736708125362060
10169680544157664
114a07a129683761
1217045286b06600
13738aa642bc5b7
142dc882161c0c8
151493ba8a276c9
hex9a52d48f4fe0

169680544157664 has 1152 divisors, whose sum is σ = 539908772659200. Its totient is φ = 51749033656320.

The previous prime is 169680544157629. The next prime is 169680544157669. The reversal of 169680544157664 is 466751445086961.

169680544157664 is a `hidden beast` number, since 1 + 6 + 9 + 6 + 8 + 0 + 5 + 4 + 41 + 576 + 6 + 4 = 666.

169680544157664 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 169680544157592 and 169680544157601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (169680544157669) 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, 366480656697 + ... + 366480657159.

It is an arithmetic number, because the mean of its divisors is an integer number (468670809600).

Almost surely, 2169680544157664 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 169680544157664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269954386329600).

169680544157664 is an abundant number, since it is smaller than the sum of its proper divisors (370228228501536).

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

169680544157664 is a wasteful number, since it uses less digits than its factorization.

169680544157664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 169680544157664 in words is "one hundred sixty-nine trillion, six hundred eighty billion, five hundred forty-four million, one hundred fifty-seven thousand, six hundred sixty-four".