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44291978496 = 283322728229
BaseRepresentation
bin101001010000000000…
…011111010100000000
311020022210011122011000
4221100000133110000
51211202221302441
632203014452000
73125411414433
oct512000372400
9136283148130
1044291978496
1117869738007
128701364000
13423b3238cc
14220260781a
1512436d42b6
hexa5001f500

44291978496 has 144 divisors (see below), whose sum is σ = 131560833600. Its totient is φ = 14698432512.

The previous prime is 44291978491. The next prime is 44291978501. The reversal of 44291978496 is 69487919244.

44291978496 is a `hidden beast` number, since 44 + 29 + 19 + 78 + 496 = 666.

It is an interprime number because it is at equal distance from previous prime (44291978491) and next prime (44291978501).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44291978491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1554910 + ... + 1583138.

It is an arithmetic number, because the mean of its divisors is an integer number (913616900).

Almost surely, 244291978496 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 44291978496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65780416800).

44291978496 is an abundant number, since it is smaller than the sum of its proper divisors (87268855104).

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

44291978496 is a wasteful number, since it uses less digits than its factorization.

44291978496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28481 (or 28461 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 44291978496 in words is "forty-four billion, two hundred ninety-one million, nine hundred seventy-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 227 256 288 384 432 454 576 681 768 864 908 1152 1362 1728 1816 2043 2304 2724 3456 3632 4086 5448 6129 6912 7264 8172 10896 12258 14528 16344 21792 24516 28229 29056 32688 43584 49032 56458 58112 65376 84687 87168 98064 112916 130752 169374 174336 196128 225832 254061 261504 338748 392256 451664 508122 523008 677496 762183 784512 903328 1016244 1354992 1524366 1569024 1806656 2032488 2709984 3048732 3613312 4064976 5419968 6097464 6407983 7226624 8129952 10839936 12194928 12815966 16259904 19223949 21679872 24389856 25631932 32519808 38447898 48779712 51263864 57671847 65039616 76895796 97559424 102527728 115343694 153791592 173015541 195118848 205055456 230687388 307583184 346031082 410110912 461374776 615166368 692062164 820221824 922749552 1230332736 1384124328 1640443648 1845499104 2460665472 2768248656 3690998208 4921330944 5536497312 7381996416 11072994624 14763992832 22145989248 44291978496