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5559368094 = 23573314937
BaseRepresentation
bin1010010110101110…
…10011100110011110
3112100102221011100000
411023113103212132
542341144234334
62315352315130
7254523564150
oct51327234636
915312834300
105559368094
1123a3133595
1210b19a2aa6
136a79cc127
143aa4acad0
152280ea299
hex14b5d399e

5559368094 has 96 divisors (see below), whose sum is σ = 14321938176. Its totient is φ = 1583271360.

The previous prime is 5559368053. The next prime is 5559368119. The reversal of 5559368094 is 4908639555.

It is a happy number.

5559368094 is a `hidden beast` number, since 5 + 559 + 3 + 6 + 80 + 9 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5559368094.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1123594 + ... + 1128530.

It is an arithmetic number, because the mean of its divisors is an integer number (149186856).

Almost surely, 25559368094 is an apocalyptic number.

5559368094 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5559368094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7160969088).

5559368094 is an abundant number, since it is smaller than the sum of its proper divisors (8762570082).

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

5559368094 is a wasteful number, since it uses less digits than its factorization.

5559368094 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5292 (or 5280 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The square root of 5559368094 is about 74561.1701490796. The cubic root of 5559368094 is about 1771.5026653272.

The spelling of 5559368094 in words is "five billion, five hundred fifty-nine million, three hundred sixty-eight thousand, ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 331 378 486 567 662 993 1134 1701 1986 2317 2979 3402 4634 4937 5958 6951 8937 9874 13902 14811 17874 20853 26811 29622 34559 41706 44433 53622 62559 69118 80433 88866 103677 125118 133299 160866 187677 207354 266598 311031 375354 399897 563031 622062 799794 933093 1126062 1199691 1634147 1866186 2399382 2799279 3268294 4902441 5598558 8397837 9804882 11439029 14707323 16795674 22878058 29414646 34317087 44121969 68634174 88243938 102951261 132365907 205902522 264731814 308853783 397097721 617707566 794195442 926561349 1853122698 2779684047 5559368094