Search a number
-
+
49342063680 = 2635571319367
BaseRepresentation
bin101101111101000001…
…000010010001000000
311201100201210112200000
4231331001002101000
51302023032014210
634400055400000
73364512423030
oct557501022100
9151321715600
1049342063680
1119a20343828
129690683000
13486466a5b0
1425611c58c0
15143bc30ac0
hexb7d042440

49342063680 has 1344 divisors, whose sum is σ = 228639989760. Its totient is φ = 9835831296.

The previous prime is 49342063657. The next prime is 49342063697. The reversal of 49342063680 is 8636024394.

49342063680 is a `hidden beast` number, since 4 + 9 + 3 + 4 + 2 + 0 + 636 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 134446857 + ... + 134447223.

It is an arithmetic number, because the mean of its divisors is an integer number (170119040).

Almost surely, 249342063680 is an apocalyptic number.

49342063680 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 49342063680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114319994880).

49342063680 is an abundant number, since it is smaller than the sum of its proper divisors (179297926080).

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

49342063680 is a wasteful number, since it uses less digits than its factorization.

49342063680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 49342063680 in words is "forty-nine billion, three hundred forty-two million, sixty-three thousand, six hundred eighty".