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48680527119841 = 31109661127917041
BaseRepresentation
bin10110001000110010100011…
…00001101100010111100001
320101100210221122011000011001
423010121101201230113201
522340040204420313331
6251311305254152001
713153023562121161
oct1304312141542741
9211323848130131
1048680527119841
1114569328507911
125562742052601
132121728210056
14c04215b8c5a1
1559645b3e2561
hex2c465186c5e1

48680527119841 has 32 divisors (see below), whose sum is σ = 50831296102400. Its totient is φ = 46568193408000.

The previous prime is 48680527119839. The next prime is 48680527119859. The reversal of 48680527119841 is 14891172508684.

It is a 3-Lehmer number, since φ(48680527119841) divides (48680527119841-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 48680527119841 - 21 = 48680527119839 is a prime.

It is a deceptive number, since it divides R48680527119840.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48680527119811) 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, 2856662281 + ... + 2856679321.

It is an arithmetic number, because the mean of its divisors is an integer number (1588478003200).

It is a Poulet number, since it divides 248680527119840-1.

Almost surely, 248680527119841 is an apocalyptic number.

48680527119841 is the 4028256-th hex number.

It is an amenable number.

48680527119841 is a deficient number, since it is larger than the sum of its proper divisors (2150768982559).

48680527119841 is a wasteful number, since it uses less digits than its factorization.

48680527119841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19121.

The product of its (nonzero) digits is 30965760, while the sum is 64.

The spelling of 48680527119841 in words is "forty-eight trillion, six hundred eighty billion, five hundred twenty-seven million, one hundred nineteen thousand, eight hundred forty-one".

Divisors: 1 31 109 661 1279 3379 17041 20491 39649 72049 139411 528271 845419 1857469 2233519 4321741 11264101 21795439 26207989 57581539 92150671 349187131 675658609 1227787009 2375702851 2856670801 14406785179 38061397279 73646788381 446610340549 1570339584511 48680527119841