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45312244656 = 24371272294637
BaseRepresentation
bin101010001100110100…
…011111101110110000
311022221212222112012120
4222030310133232300
51220244413312111
632452142354240
73162610503360
oct521464375660
9138855875176
1045312244656
1118242643088
128946b8b980
1343718083b3
14229bd0c9a0
1512a306a406
hexa8cd1fbb0

45312244656 has 160 divisors (see below), whose sum is σ = 135450378240. Its totient is φ = 12785568768.

The previous prime is 45312244651. The next prime is 45312244661. The reversal of 45312244656 is 65644221354.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45312244651) and next prime (45312244661).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (45312244651) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 9769570 + ... + 9774206.

It is an arithmetic number, because the mean of its divisors is an integer number (846564864).

Almost surely, 245312244656 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 45312244656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67725189120).

45312244656 is an abundant number, since it is smaller than the sum of its proper divisors (90138133584).

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

45312244656 is a wasteful number, since it uses less digits than its factorization.

45312244656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5011 (or 5005 counting only the distinct ones).

The product of its digits is 691200, while the sum is 42.

The spelling of 45312244656 in words is "forty-five billion, three hundred twelve million, two hundred forty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 127 168 229 254 336 381 458 508 687 762 889 916 1016 1374 1524 1603 1778 1832 2032 2667 2748 3048 3206 3556 3664 4637 4809 5334 5496 6096 6412 7112 9274 9618 10668 10992 12824 13911 14224 18548 19236 21336 25648 27822 29083 32459 37096 38472 42672 55644 58166 64918 74192 76944 87249 97377 111288 116332 129836 174498 194754 203581 222576 232664 259672 348996 389508 407162 465328 519344 588899 610743 697992 779016 814324 1061873 1177798 1221486 1395984 1558032 1628648 1766697 2123746 2355596 2442972 3185619 3257296 3533394 4122293 4247492 4711192 4885944 6371238 7066788 7433111 8244586 8494984 9422384 9771888 12366879 12742476 14133576 14866222 16489172 16989968 22299333 24733758 25484952 28267152 29732444 32978344 44598666 49467516 50969904 59464888 65956688 89197332 98935032 118929776 134857871 178394664 197870064 269715742 356789328 404573613 539431484 809147226 944005097 1078862968 1618294452 1888010194 2157725936 2832015291 3236588904 3776020388 5664030582 6473177808 7552040776 11328061164 15104081552 22656122328 45312244656