Search a number
-
+
49651665840 = 243257233141337
BaseRepresentation
bin101110001111011110…
…000100101110110000
311202011022100221222200
4232033132010232300
51303141311301330
634450515303200
73405262124160
oct561736045660
9152138327880
1049651665840
111a06a086487
1297582aab00
1348b384ab3a
1425903785a0
151458ed9a60
hexb8f784bb0

49651665840 has 960 divisors, whose sum is σ = 210898501632. Its totient is φ = 10218700800.

The previous prime is 49651665839. The next prime is 49651665841. The reversal of 49651665840 is 4856615694.

49651665840 is a `hidden beast` number, since 4 + 9 + 6 + 51 + 6 + 6 + 584 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (49651665839) and next prime (49651665841).

It is not an unprimeable number, because it can be changed into a prime (49651665841) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 147334152 + ... + 147334488.

Almost surely, 249651665840 is an apocalyptic number.

49651665840 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 49651665840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105449250816).

49651665840 is an abundant number, since it is smaller than the sum of its proper divisors (161246835792).

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

49651665840 is a wasteful number, since it uses less digits than its factorization.

49651665840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 49651665840 in words is "forty-nine billion, six hundred fifty-one million, six hundred sixty-five thousand, eight hundred forty".