Search a number
-
+
49101131520 = 2832571973439
BaseRepresentation
bin101101101110101001…
…111100111100000000
311200201221102220212200
4231232221330330000
51301024342202040
634320131353200
73355525505640
oct555651747400
9150657386780
1049101131520
1119907343941
129623a52800
13482678139c
14253b1ca520
1514259dd630
hexb6ea7cf00

49101131520 has 864 divisors, whose sum is σ = 207644236800. Its totient is φ = 10462887936.

The previous prime is 49101131449. The next prime is 49101131551. The reversal of 49101131520 is 2513110194.

It is a happy number.

49101131520 is a `hidden beast` number, since 4 + 9 + 1 + 0 + 1 + 131 + 520 = 666.

It is a super-2 number, since 2×491011315202 (a number of 22 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 111847461 + ... + 111847899.

Almost surely, 249101131520 is an apocalyptic number.

49101131520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49101131520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103822118400).

49101131520 is an abundant number, since it is smaller than the sum of its proper divisors (158543105280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

49101131520 is a wasteful number, since it uses less digits than its factorization.

49101131520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 49101131520 in words is "forty-nine billion, one hundred one million, one hundred thirty-one thousand, five hundred twenty".