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445555555544 = 23111011932111231
BaseRepresentation
bin1100111101111010010…
…11100011110011011000
31120121001112101100222202
412132331023203303120
524244444210234134
6540404013505332
744122165506521
oct6367513436330
91517045340882
10445555555544
11161a6054a560
12724277a2248
1333028686578
14177ca529848
15b8caec5d7e
hex67bd2e3cd8

445555555544 has 128 divisors (see below), whose sum is σ = 930295618560. Its totient is φ = 198374400000.

The previous prime is 445555555519. The next prime is 445555555583.

445555555544 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4455555555442 (a number of 24 digits) contains 22 as substring.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 445555555544.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 361945409 + ... + 361946639.

It is an arithmetic number, because the mean of its divisors is an integer number (7267934520).

Almost surely, 2445555555544 is an apocalyptic number.

445555555544 is a gapful number since it is divisible by the number (44) 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 445555555544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465147809280).

445555555544 is an abundant number, since it is smaller than the sum of its proper divisors (484740063016).

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

445555555544 is a wasteful number, since it uses less digits than its factorization.

445555555544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1749 counting only the distinct ones).

The product of its digits is 100000000, while the sum is 56.

The spelling of 445555555544 in words is "four hundred forty-five billion, five hundred fifty-five million, five hundred fifty-five thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 101 193 202 211 386 404 422 772 808 844 1111 1231 1544 1688 2123 2222 2321 2462 4246 4444 4642 4924 8492 8888 9284 9848 13541 16984 18568 19493 21311 27082 38986 40723 42622 54164 77972 81446 85244 108328 124331 155944 162892 170488 214423 234421 237583 248662 259741 325784 428846 447953 468842 475166 497324 519482 857692 895906 937684 950332 994648 1038964 1367641 1715384 1791812 1875368 1900664 2077928 2613413 2735282 2857151 3583624 4113023 5226826 5470564 5714302 8226046 10453652 10941128 11428604 16452092 20907304 22857208 23995883 26233841 32904184 45243253 47991766 50130013 52467682 90486506 95983532 100260026 104935364 180973012 191967064 200520052 209870728 263954713 288572251 361946024 401040104 527909426 551430143 577144502 1055818852 1102860286 1154289004 2111637704 2205720572 2308578008 4411441144 5063131313 10126262626 20252525252 40505050504 55694444443 111388888886 222777777772 445555555544