Search a number
-
+
49423387453440 = 21135711137122637
BaseRepresentation
bin10110011110011010001110…
…11100111110100000000000
320110222211101211220221102220
423033031013130332200000
522434223044142002230
6253040442445211040
713260502420560420
oct1317150734764000
9213884354827386
1049423387453440
1114825382830510
125662700560a80
1321767b41c2520
14c2c1674ac480
155aa938137d10
hex2cf34773e800

49423387453440 has 1536 divisors, whose sum is σ = 215295507947520. Its totient is φ = 9345879244800.

The previous prime is 49423387453409. The next prime is 49423387453441. The reversal of 49423387453440 is 4435478332494.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (49423387453441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2183289802 + ... + 2183312438.

It is an arithmetic number, because the mean of its divisors is an integer number (140166346320).

Almost surely, 249423387453440 is an apocalyptic number.

49423387453440 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 49423387453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107647753973760).

49423387453440 is an abundant number, since it is smaller than the sum of its proper divisors (165872120494080).

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

49423387453440 is a wasteful number, since it uses less digits than its factorization.

49423387453440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22769 (or 22749 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 60.

The spelling of 49423387453440 in words is "forty-nine trillion, four hundred twenty-three billion, three hundred eighty-seven million, four hundred fifty-three thousand, four hundred forty".