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544189145864 = 237213229466321
BaseRepresentation
bin1111110101101000011…
…00110110001100001000
31221000122110212220112112
413322310030312030020
532403444410131424
61053555210001452
754213341263400
oct7726414661410
91830573786475
10544189145864
1119a875649861
1289573a16288
133c417078770
141c4a5cdd800
15e2502a360e
hex7eb4336308

544189145864 has 96 divisors (see below), whose sum is σ = 1283831098200. Its totient is φ = 214343055360.

The previous prime is 544189145821. The next prime is 544189145873. The reversal of 544189145864 is 468541981445.

It can be written as a sum of positive squares in 4 ways, for example, as 403151343364 + 141037802500 = 634942^2 + 375550^2 .

It is a super-2 number, since 2×5441891458642 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 933824 + ... + 1400144.

Almost surely, 2544189145864 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 544189145864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641915549100).

544189145864 is an abundant number, since it is smaller than the sum of its proper divisors (739641952336).

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

544189145864 is a wasteful number, since it uses less digits than its factorization.

544189145864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466583 (or 466572 counting only the distinct ones).

The product of its digits is 22118400, while the sum is 59.

The spelling of 544189145864 in words is "five hundred forty-four billion, one hundred eighty-nine million, one hundred forty-five thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 229 364 392 458 637 728 916 1274 1603 1832 2548 2977 3206 5096 5954 6412 11221 11908 12824 20839 22442 23816 41678 44884 83356 89768 145873 166712 291746 466321 583492 932642 1166984 1865284 3264247 3730568 6062173 6528494 12124346 13056988 22849729 24248692 26113976 42435211 45699458 48497384 84870422 91398916 106787509 169740844 182797832 213575018 297046477 339481688 427150036 594092954 747512563 854300072 1188185908 1388237617 1495025126 2376371816 2776475234 2990050252 5232587941 5552950468 5980100504 9717663319 10465175882 11105900936 19435326638 20930351764 38870653276 41860703528 68023643233 77741306552 136047286466 272094572932 544189145864