Search a number
-
+
49441052160 = 29355194789
BaseRepresentation
bin101110000010111010…
…101001011000000000
311201121122001200100000
4232002322221120000
51302223402132120
634413553200000
73400124003133
oct560272513000
9151548050300
1049441052160
1119a71204295
1296b9860000
13487c018866
1425703d221a
151445785990
hexb82ea9600

49441052160 has 960 divisors, whose sum is σ = 193037644800. Its totient is φ = 12087263232.

The previous prime is 49441052159. The next prime is 49441052183. The reversal of 49441052160 is 6125014494.

49441052160 is a `hidden beast` number, since 4 + 9 + 441 + 0 + 52 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 555517396 + ... + 555517484.

It is an arithmetic number, because the mean of its divisors is an integer number (201080880).

Almost surely, 249441052160 is an apocalyptic number.

49441052160 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 49441052160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96518822400).

49441052160 is an abundant number, since it is smaller than the sum of its proper divisors (143596592640).

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

49441052160 is an equidigital number, since it uses as much as digits as its factorization.

49441052160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

49441052160 divided by its product of nonzero digits (34560) gives a triangular number (1430586 = T1691).

The spelling of 49441052160 in words is "forty-nine billion, four hundred forty-one million, fifty-two thousand, one hundred sixty".