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48943791316 = 22721767271809
BaseRepresentation
bin101101100101010001…
…101111110011010100
311200022222101012200201
4231211101233303110
51300214102310231
634252351150244
73351605235100
oct554521576324
9150288335621
1048943791316
1119836548912
12959b215384
1347cccb2484
142524350900
151416cae161
hexb6546fcd4

48943791316 has 144 divisors (see below), whose sum is σ = 107599000320. Its totient is φ = 19351664640.

The previous prime is 48943791307. The next prime is 48943791317. The reversal of 48943791316 is 61319734984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48943791317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60498720 + ... + 60499528.

It is an arithmetic number, because the mean of its divisors is an integer number (747215280).

Almost surely, 248943791316 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 48943791316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53799500160).

48943791316 is an abundant number, since it is smaller than the sum of its proper divisors (58655209004).

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

48943791316 is a wasteful number, since it uses less digits than its factorization.

48943791316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1173 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 55.

The spelling of 48943791316 in words is "forty-eight billion, nine hundred forty-three million, seven hundred ninety-one thousand, three hundred sixteen".

Divisors: 1 2 4 7 14 17 28 34 49 67 68 98 119 134 196 238 268 271 469 476 542 809 833 938 1084 1139 1618 1666 1876 1897 2278 3236 3283 3332 3794 4556 4607 5663 6566 7588 7973 9214 11326 13132 13279 13753 15946 18157 18428 22652 26558 27506 31892 32249 36314 39641 53116 54203 55012 55811 64498 72628 79282 96271 108406 111622 127099 128996 158564 192542 216812 219239 223244 225743 254198 308669 379421 385084 438478 451486 508396 617338 673897 758842 876956 889693 902972 921451 1234676 1347794 1517684 1534673 1779386 1842902 2160683 2655947 2695588 3069346 3558772 3685804 3727063 4321366 5311894 6138692 6450157 7454126 8642732 10623788 10742711 12900314 14689013 14908252 15124781 21485422 25800628 26089441 29378026 30249562 42970844 45151099 52178882 58756052 60499124 90302198 102823091 104357764 180604396 182626087 205646182 249713221 365252174 411292364 499426442 719761637 730504348 998852884 1439523274 1747992547 2879046548 3495985094 6991970188 12235947829 24471895658 48943791316