Search a number
-
+
48100048191 = 32132937091979
BaseRepresentation
bin101100110010111111…
…000111110100111111
311121011011201121201100
4230302333013310333
51242002103020231
634032530544143
73321651443436
oct546277076477
9147134647640
1048100048191
1119443250148
1293a4738053
1346c72550a0
14248427a11d
1513b7b961e6
hexb32fc7d3f

48100048191 has 48 divisors (see below), whose sum is σ = 75221546400. Its totient is φ = 29442514176.

The previous prime is 48100048181. The next prime is 48100048219. The reversal of 48100048191 is 19184000184.

It is not a de Polignac number, because 48100048191 - 210 = 48100047167 is a prime.

It is a super-3 number, since 3×481000481913 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48100048111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24304240 + ... + 24306218.

It is an arithmetic number, because the mean of its divisors is an integer number (1567115550).

Almost surely, 248100048191 is an apocalyptic number.

48100048191 is a deficient number, since it is larger than the sum of its proper divisors (27121498209).

48100048191 is a wasteful number, since it uses less digits than its factorization.

48100048191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3000 (or 2997 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 48100048191 in words is "forty-eight billion, one hundred million, forty-eight thousand, one hundred ninety-one".

Divisors: 1 3 9 13 39 117 293 709 879 1979 2127 2637 3809 5937 6381 9217 11427 17811 25727 27651 34281 77181 82953 207737 231543 579847 623211 1403111 1739541 1869633 2700581 4209333 5218623 7538011 8101743 12627999 18240443 22614033 24305229 54721329 67842099 164163987 411111523 1233334569 3700003707 5344449799 16033349397 48100048191