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55690171260480 = 263252919123314983
BaseRepresentation
bin11001010100110011000001…
…11000000001111001000000
321022011221001210021002101100
430222121200320001321000
524244411432320313410
6314235413403134400
714505324234203451
oct1452314070017100
9238157053232340
1055690171260480
1116821083922819
1262b5165814400
13250c73989a973
14da75c0b93128
156689686098c0
hex32a660e01e40

55690171260480 has 672 divisors, whose sum is σ = 200061918351360. Its totient is φ = 14201382666240.

The previous prime is 55690171260443. The next prime is 55690171260487. The reversal of 55690171260480 is 8406217109655.

It is a happy number.

55690171260480 is a `hidden beast` number, since 5 + 5 + 6 + 9 + 0 + 17 + 12 + 604 + 8 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (55690171260487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3716883069 + ... + 3716898051.

Almost surely, 255690171260480 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 55690171260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100030959175680).

55690171260480 is an abundant number, since it is smaller than the sum of its proper divisors (144371747090880).

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

55690171260480 is a wasteful number, since it uses less digits than its factorization.

55690171260480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15459 (or 15446 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 55690171260480 in words is "fifty-five trillion, six hundred ninety billion, one hundred seventy-one million, two hundred sixty thousand, four hundred eighty".