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44729468728 = 23731473531553
BaseRepresentation
bin101001101010000101…
…011000011100111000
311021110021101102220221
4221222011120130320
51213101220444403
632314243425424
73142303132240
oct515205303470
9137407342827
1044729468728
1117a7368998a
128803985274
1342aab60579
14224476ab20
15126bd00dbd
hexa6a158738

44729468728 has 128 divisors (see below), whose sum is σ = 101397381120. Its totient is φ = 18093588480.

The previous prime is 44729468699. The next prime is 44729468743. The reversal of 44729468728 is 82786492744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28801200 + ... + 28802752.

It is an arithmetic number, because the mean of its divisors is an integer number (792167040).

Almost surely, 244729468728 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 44729468728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50698690560).

44729468728 is an abundant number, since it is smaller than the sum of its proper divisors (56667912392).

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

44729468728 is a wasteful number, since it uses less digits than its factorization.

44729468728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1997 (or 1993 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 61.

The spelling of 44729468728 in words is "forty-four billion, seven hundred twenty-nine million, four hundred sixty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 31 47 56 62 94 124 188 217 248 329 353 376 434 658 706 868 1316 1412 1457 1553 1736 2471 2632 2824 2914 3106 4942 5828 6212 9884 10199 10871 10943 11656 12424 16591 19768 20398 21742 21886 33182 40796 43484 43772 48143 66364 72991 76601 81592 86968 87544 96286 116137 132728 145982 153202 192572 232274 291964 306404 337001 385144 464548 510937 514321 548209 583928 612808 674002 929096 1021874 1028642 1096418 1348004 2043748 2057284 2192836 2262721 2696008 3600247 3837463 4087496 4114568 4385672 4525442 7200494 7674926 9050884 14400988 15349852 15839047 16994479 18101768 25765823 28801976 30699704 31678094 33988958 51531646 63356188 67977916 103063292 118961353 126712376 135955832 180360761 206126584 237922706 360721522 475845412 721443044 798740513 951690824 1442886088 1597481026 3194962052 5591183591 6389924104 11182367182 22364734364 44729468728