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69135545821680 = 2432513172309188171
BaseRepresentation
bin11111011100000110111111…
…01001100110100111110000
3100001210021221001120112002100
433232003133221212213300
533030204044212243210
6403012233054220400
720363610163245462
oct1756033751464760
9301707831515070
1069135545821680
1120035247290268
127906b224b4700
132c765b957aca0
14131026d26c132
157ed592e145c0
hex3ee0dfa669f0

69135545821680 has 480 divisors, whose sum is σ = 264864539459520. Its totient is φ = 16009901015040.

The previous prime is 69135545821673. The next prime is 69135545821681. The reversal of 69135545821680 is 8612854553196.

69135545821680 is a `hidden beast` number, since 6 + 9 + 1 + 3 + 5 + 545 + 8 + 2 + 1 + 6 + 80 = 666.

It is a super-2 number, since 2×691355458216802 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69135545821681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 367313995 + ... + 367502165.

It is an arithmetic number, because the mean of its divisors is an integer number (551801123874).

Almost surely, 269135545821680 is an apocalyptic number.

69135545821680 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 69135545821680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132432269729760).

69135545821680 is an abundant number, since it is smaller than the sum of its proper divisors (195728993637840).

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

69135545821680 is a wasteful number, since it uses less digits than its factorization.

69135545821680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190529 (or 190520 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 63.

The spelling of 69135545821680 in words is "sixty-nine trillion, one hundred thirty-five billion, five hundred forty-five million, eight hundred twenty-one thousand, six hundred eighty".