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445452254544 = 243112353036917
BaseRepresentation
bin1100111101101110000…
…01011111110101010000
31120120210100000010122210
412132313001133311100
524244241234121134
6540345443432120
744116502455443
oct6366701376520
91516710003583
10445452254544
11161a08203a30
12723b9085640
133301015840b
14177ba91965a
15b8c1dbd2e9
hex67b705fd50

445452254544 has 160 divisors (see below), whose sum is σ = 1310382987264. Its totient is φ = 129073584640.

The previous prime is 445452254543. The next prime is 445452254561.

445452254544 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4454522545442 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 445452254493 and 445452254502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445452254543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64396174 + ... + 64403090.

Almost surely, 2445452254544 is an apocalyptic number.

445452254544 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 445452254544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655191493632).

445452254544 is an abundant number, since it is smaller than the sum of its proper divisors (864930732720).

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

445452254544 is a wasteful number, since it uses less digits than its factorization.

445452254544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12265 (or 12259 counting only the distinct ones).

The product of its digits is 10240000, while the sum is 48.

It can be divided in two parts, 445452 and 254544, that added together give a palindrome (699996).

The spelling of 445452254544 in words is "four hundred forty-five billion, four hundred fifty-two million, two hundred fifty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 176 184 253 264 276 368 506 528 552 759 1012 1104 1518 2024 3036 4048 5303 6072 6917 10606 12144 13834 15909 20751 21212 27668 31818 41502 42424 55336 58333 63636 76087 83004 84848 110672 116666 121969 127272 152174 159091 166008 174999 228261 233332 243938 254544 304348 318182 332016 349998 365907 456522 466664 477273 487876 608696 636364 699996 731814 913044 933328 954546 975752 1217392 1272728 1341659 1399992 1463628 1750001 1826088 1909092 1951504 2545456 2683318 2799984 2927256 3500002 3652176 3818184 4024977 5250003 5366636 5854512 7000004 7636368 8049954 10500006 10733272 14000008 16099908 21000012 21466544 28000016 32199816 36680851 42000024 64399632 73361702 84000048 110042553 146723404 220085106 293446808 403489361 440170212 586893616 806978722 843659573 880340424 1210468083 1613957444 1687319146 1760680848 2420936166 2530978719 3227914888 3374638292 4841872332 5061957438 6455829776 6749276584 9280255303 9683744664 10123914876 13498553168 18560510606 19367489328 20247829752 27840765909 37121021212 40495659504 55681531818 74242042424 111363063636 148484084848 222726127272 445452254544