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44244892848 = 24313314155787
BaseRepresentation
bin101001001101001100…
…110111110010110000
311020012111120102210010
4221031030313302300
51211103143032343
632154213334520
73124300245462
oct511514676260
9136174512703
1044244892848
11178450a7952
1286a9637440
134231648b90
1421da26c132
15123e4d2d33
hexa4d337cb0

44244892848 has 160 divisors (see below), whose sum is σ = 130163668992. Its totient is φ = 12853094400.

The previous prime is 44244892799. The next prime is 44244892877. The reversal of 44244892848 is 84829844244.

44244892848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×442448928482 (a number of 22 digits) contains 22 as substring.

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, 765211 + ... + 820997.

Almost surely, 244244892848 is an apocalyptic number.

44244892848 is a gapful number since it is divisible by the number (48) 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 44244892848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65081834496).

44244892848 is an abundant number, since it is smaller than the sum of its proper divisors (85918776144).

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

44244892848 is a wasteful number, since it uses less digits than its factorization.

44244892848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55883 (or 55877 counting only the distinct ones).

The product of its digits is 18874368, while the sum is 57.

The spelling of 44244892848 in words is "forty-four billion, two hundred forty-four million, eight hundred ninety-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 41 48 52 62 78 82 93 104 123 124 156 164 186 208 246 248 312 328 372 403 492 496 533 624 656 744 806 984 1066 1209 1271 1488 1599 1612 1968 2132 2418 2542 3198 3224 3813 4264 4836 5084 6396 6448 7626 8528 9672 10168 12792 15252 16523 19344 20336 25584 30504 33046 49569 55787 61008 66092 99138 111574 132184 167361 198276 223148 264368 334722 396552 446296 669444 725231 793104 892592 1338888 1450462 1729397 2175693 2287267 2677776 2900924 3458794 4351386 4574534 5188191 5801848 6861801 6917588 8702772 9149068 10376382 11603696 13723602 13835176 17405544 18298136 20752764 22482161 27447204 27670352 29734471 34811088 36596272 41505528 44964322 54894408 59468942 67446483 70905277 83011056 89203413 89928644 109788816 118937884 134892966 141810554 178406826 179857288 212715831 237875768 269785932 283621108 356813652 359714576 425431662 475751536 539571864 567242216 713627304 850863324 921768601 1079143728 1134484432 1427254608 1701726648 1843537202 2765305803 3403453296 3687074404 5530611606 7374148808 11061223212 14748297616 22122446424 44244892848