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48591630135 = 335401897601
BaseRepresentation
bin101101010000010010…
…010110111100110111
311122102102201120101000
4231100102112330313
51244003424131020
634153411134343
73340101020106
oct552022267467
9148372646330
1048591630135
1119675787a14
1295012a43b3
134775050689
1424cd68003d
1513e5dea090
hexb50496f37

48591630135 has 32 divisors (see below), whose sum is σ = 86600640960. Its totient is φ = 25850880000.

The previous prime is 48591630089. The next prime is 48591630167. The reversal of 48591630135 is 53103619584.

48591630135 is a `hidden beast` number, since 4 + 8 + 5 + 9 + 1 + 630 + 1 + 3 + 5 = 666.

It is not a de Polignac number, because 48591630135 - 216 = 48591564599 is a prime.

It is a super-2 number, since 2×485916301352 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 394666 + ... + 502935.

It is an arithmetic number, because the mean of its divisors is an integer number (2706270030).

Almost surely, 248591630135 is an apocalyptic number.

48591630135 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

48591630135 is a deficient number, since it is larger than the sum of its proper divisors (38009010825).

48591630135 is a wasteful number, since it uses less digits than its factorization.

48591630135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898016 (or 898010 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 48591630135 in words is "forty-eight billion, five hundred ninety-one million, six hundred thirty thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 135 401 1203 2005 3609 6015 10827 18045 54135 897601 2692803 4488005 8078409 13464015 24235227 40392045 121176135 359938001 1079814003 1799690005 3239442009 5399070015 9718326027 16197210045 48591630135