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44066752272 = 2433893972887
BaseRepresentation
bin101001000010100101…
…010100011100010000
311012202002100221212000
4221002211110130100
51210222042033042
632124411234000
73120005133264
oct510245243420
9135662327760
1044066752272
1117763595234
128659a48900
13420377645a
1421c073a0a4
15122da4574c
hexa42954710

44066752272 has 160 divisors (see below), whose sum is σ = 128275718400. Its totient is φ = 14482271232.

The previous prime is 44066752259. The next prime is 44066752277. The reversal of 44066752272 is 27225766044.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (44066752277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15262413 + ... + 15265299.

It is an arithmetic number, because the mean of its divisors is an integer number (801723240).

Almost surely, 244066752272 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 44066752272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64137859200).

44066752272 is an abundant number, since it is smaller than the sum of its proper divisors (84208966128).

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

44066752272 is a wasteful number, since it uses less digits than its factorization.

44066752272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3390 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 44066752272 in words is "forty-four billion, sixty-six million, seven hundred fifty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 89 108 144 178 216 267 356 397 432 534 712 794 801 1068 1191 1424 1588 1602 2136 2382 2403 2887 3176 3204 3573 4272 4764 4806 5774 6352 6408 7146 8661 9528 9612 10719 11548 12816 14292 17322 19056 19224 21438 23096 25983 28584 34644 35333 38448 42876 46192 51966 57168 69288 70666 77949 85752 103932 105999 138576 141332 155898 171504 207864 211998 256943 282664 311796 317997 415728 423996 513886 565328 623592 635994 770829 847992 953991 1027772 1146139 1247184 1271988 1541658 1695984 1907982 2055544 2292278 2312487 2543976 3083316 3438417 3815964 4111088 4584556 4624974 5087952 6166632 6876834 6937461 7631928 9169112 9249948 10315251 12333264 13753668 13874922 15263856 18338224 18499896 20630502 27507336 27749844 30945753 36999792 41261004 55014672 55499688 61891506 82522008 102006371 110999376 123783012 165044016 204012742 247566024 306019113 408025484 495132048 612038226 816050968 918057339 1224076452 1632101936 1836114678 2448152904 2754172017 3672229356 4896305808 5508344034 7344458712 11016688068 14688917424 22033376136 44066752272