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48365500344 = 23371767325163
BaseRepresentation
bin101101000010110011…
…101111011110111000
311121211200012222121120
4231002303233132320
51243023032002334
634115132305240
73331353653430
oct550263573670
9147750188546
1048365500344
111956a078297
129459612220
13473a247b75
1424ab6192c0
1513d112d949
hexb42cef7b8

48365500344 has 128 divisors (see below), whose sum is σ = 146539031040. Its totient is φ = 12986007552.

The previous prime is 48365500333. The next prime is 48365500349. The reversal of 48365500344 is 44300556384.

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

It is a junction number, because it is equal to n+sod(n) for n = 48365500296 and 48365500305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48365500349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1909507 + ... + 1934669.

It is an arithmetic number, because the mean of its divisors is an integer number (1144836180).

Almost surely, 248365500344 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 48365500344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73269515520).

48365500344 is an abundant number, since it is smaller than the sum of its proper divisors (98173530696).

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

48365500344 is a wasteful number, since it uses less digits than its factorization.

48365500344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25869 (or 25865 counting only the distinct ones).

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

The spelling of 48365500344 in words is "forty-eight billion, three hundred sixty-five million, five hundred thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 673 714 952 1346 1428 2019 2692 2856 4038 4711 5384 8076 9422 11441 14133 16152 18844 22882 25163 28266 34323 37688 45764 50326 56532 68646 75489 80087 91528 100652 113064 137292 150978 160174 176141 201304 240261 274584 301956 320348 352282 427771 480522 528423 603912 640696 704564 855542 961044 1056846 1283313 1409128 1711084 1922088 2113692 2566626 2994397 3422168 4227384 5133252 5988794 8983191 10266504 11977588 16934699 17966382 23955176 33869398 35932764 50804097 67738796 71865528 101608194 118542893 135477592 203216388 237085786 287889883 355628679 406432776 474171572 575779766 711257358 863669649 948343144 1151559532 1422514716 1727339298 2015229181 2303119064 2845029432 3454678596 4030458362 6045687543 6909357192 8060916724 12091375086 16121833448 24182750172 48365500344