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48338197260507 = 3372116154451279
BaseRepresentation
bin10101111110110100111010…
…00100111010100011011011
320100011002100002010022202000
422333122131010322203123
522313433111444314012
6250450132233212043
713116214406252100
oct1277323504724333
9210132302108660
1048338197260507
11144471291a77a0
125508324561023
1320c8370730acb
14bd181cc7aaa7
1558c5c292cddc
hex2bf69d13a8db

48338197260507 has 96 divisors (see below), whose sum is σ = 92366795289600. Its totient is φ = 24699099700800.

The previous prime is 48338197260503. The next prime is 48338197260523. The reversal of 48338197260507 is 70506279183384.

48338197260507 is a `hidden beast` number, since 4 + 8 + 3 + 3 + 8 + 19 + 7 + 2 + 605 + 0 + 7 = 666.

It is not a de Polignac number, because 48338197260507 - 22 = 48338197260503 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (48338197260503) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26337907 + ... + 28113372.

It is an arithmetic number, because the mean of its divisors is an integer number (962154117600).

It is a 1-persistent number, because it is pandigital, but 2⋅48338197260507 = 96676394521014 is not.

Almost surely, 248338197260507 is an apocalyptic number.

48338197260507 is a deficient number, since it is larger than the sum of its proper divisors (44028598029093).

48338197260507 is a wasteful number, since it uses less digits than its factorization.

48338197260507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54451374 (or 54451361 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 48338197260507 in words is "forty-eight trillion, three hundred thirty-eight billion, one hundred ninety-seven million, two hundred sixty thousand, five hundred seven".

Divisors: 1 3 7 9 11 21 27 33 49 61 63 77 99 147 183 189 231 297 427 441 539 549 671 693 1281 1323 1617 1647 2013 2079 2989 3843 4697 4851 6039 8967 11529 14091 14553 18117 26901 32879 42273 80703 98637 126819 295911 887733 54451279 163353837 381158953 490061511 598964069 1143476859 1470184533 1796892207 2668112671 3321528019 3430430577 4192748483 5390676621 8004338013 9964584057 10291291731 12578245449 16172029863 23250696133 24013014039 29349239381 29893752171 36536808209 37734736347 69752088399 72039042117 88047718143 89681256513 109610424627 113204209041 162754872931 209256265197 255757657463 264143154429 328831273881 488264618793 627768795591 767272972389 792429463287 986493821643 1464793856379 1790303602241 2301818917167 4394381569137 5370910806723 6905456751501 16112732420169 48338197260507