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48868297002 = 2337177996263
BaseRepresentation
bin101101100000110001…
…110000100100101010
311200010201022200222000
4231200301300210222
51300040241001002
634241053111430
73350000446050
oct554061604452
9150121280860
1048868297002
11197a7974918
129579a88576
1347ba46bb95
1425182dc1d0
15141034a61c
hexb60c7092a

48868297002 has 128 divisors (see below), whose sum is σ = 133075353600. Its totient is φ = 12974577408.

The previous prime is 48868296991. The next prime is 48868297007. The reversal of 48868297002 is 20079286884.

It is a super-2 number, since 2×488682970022 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 48868297002.

It is not an unprimeable number, because it can be changed into a prime (48868297007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 459523 + ... + 555785.

It is an arithmetic number, because the mean of its divisors is an integer number (1039651200).

Almost surely, 248868297002 is an apocalyptic number.

48868297002 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 48868297002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66537676800).

48868297002 is an abundant number, since it is smaller than the sum of its proper divisors (84207056598).

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

48868297002 is a wasteful number, since it uses less digits than its factorization.

48868297002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96377 (or 96371 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 48868297002 in words is "forty-eight billion, eight hundred sixty-eight million, two hundred ninety-seven thousand, two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 79 102 119 126 153 158 189 237 238 306 357 378 459 474 553 711 714 918 1071 1106 1343 1422 1659 2133 2142 2686 3213 3318 4029 4266 4977 6426 8058 9401 9954 12087 14931 18802 24174 28203 29862 36261 56406 72522 84609 96263 169218 192526 253827 288789 507654 577578 673841 866367 1347682 1636471 1732734 2021523 2599101 3272942 4043046 4909413 5198202 6064569 7604777 9818826 11455297 12129138 14728239 15209554 18193707 22814331 22910594 29456478 34365891 36387414 44184717 45628662 53233439 68442993 68731782 88369434 103097673 106466878 129281209 136885986 159700317 205328979 206195346 258562418 309293019 319400634 387843627 410657958 479100951 618586038 775687254 904968463 958201902 1163530881 1437302853 1809936926 2327061762 2714905389 2874605706 3490592643 5429810778 6981185286 8144716167 16289432334 24434148501 48868297002