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48935344221 = 32314114928711
BaseRepresentation
bin101101100100110001…
…100001100001011101
311200022101111001110100
4231210301201201131
51300204422003341
634251450131313
73351443364021
oct554461414135
9150271431410
1048935344221
11198317a9445
129598420b39
1347cb3156aa
142523192381
1514161913b6
hexb64c6185d

48935344221 has 48 divisors (see below), whose sum is σ = 75248409600. Its totient is φ = 30593376000.

The previous prime is 48935344147. The next prime is 48935344231. The reversal of 48935344221 is 12244353984.

48935344221 is a `hidden beast` number, since 4 + 8 + 93 + 534 + 4 + 2 + 21 = 666.

It is not a de Polignac number, because 48935344221 - 219 = 48934819933 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48935344231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1690056 + ... + 1718766.

It is an arithmetic number, because the mean of its divisors is an integer number (1567675200).

Almost surely, 248935344221 is an apocalyptic number.

48935344221 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

48935344221 is a deficient number, since it is larger than the sum of its proper divisors (26313065379).

48935344221 is a wasteful number, since it uses less digits than its factorization.

48935344221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28938 (or 28935 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 48935344221 in words is "forty-eight billion, nine hundred thirty-five million, three hundred forty-four thousand, two hundred twenty-one".

Divisors: 1 3 9 31 41 93 123 149 279 369 447 1271 1341 3813 4619 6109 11439 13857 18327 28711 41571 54981 86133 189379 258399 568137 890041 1177151 1704411 2670123 3531453 4277939 8010369 10594359 12833817 36491681 38501451 109475043 132616109 175395499 328425129 397848327 526186497 1193544981 1578559491 5437260469 16311781407 48935344221