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109171476530688 = 293111329311075167
BaseRepresentation
bin11000110100101001110111…
…000101000000011000000000
3112022112200122220110200002010
4120310221313011000120000
5103302131140442440223
61024104403422252520
731665243650315055
oct3064516705003000
9468480586420063
10109171476530688
11318703aa452870
12102b21b6727140
1348bba97b256c0
141cd5cdb6c502c
15c94c02257393
hex634a77140600

109171476530688 has 1280 divisors, whose sum is σ = 368351463997440. Its totient is φ = 28261210521600.

The previous prime is 109171476530653. The next prime is 109171476530731. The reversal of 109171476530688 is 886035674171901.

It is a super-3 number, since 3×1091714765306883 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 21128597481 + ... + 21128602647.

It is an arithmetic number, because the mean of its divisors is an integer number (287774581248).

Almost surely, 2109171476530688 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 109171476530688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184175731998720).

109171476530688 is an abundant number, since it is smaller than the sum of its proper divisors (259179987466752).

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

109171476530688 is a wasteful number, since it uses less digits than its factorization.

109171476530688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5379 (or 5363 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 66.

The spelling of 109171476530688 in words is "one hundred nine trillion, one hundred seventy-one billion, four hundred seventy-six million, five hundred thirty thousand, six hundred eighty-eight".