Search a number
-
+
49303653815328 = 253112914973314741
BaseRepresentation
bin10110011010111011001101…
…10001011001010000100000
320110120101100101221220202120
423031131212301121100200
522430242340334042303
6252505441425544240
713246033334464323
oct1315354661312040
9213511311856676
1049303653815328
1114789620264a90
125643465aa5080
132168412259053
14c264496a07ba
155a777b749553
hex2cd766c59420

49303653815328 has 384 divisors, whose sum is σ = 147247105824000. Its totient is φ = 14307978854400.

The previous prime is 49303653815237. The next prime is 49303653815359. The reversal of 49303653815328 is 82351835630394.

It is a super-2 number, since 2×493036538153282 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3344654038 + ... + 3344668778.

It is an arithmetic number, because the mean of its divisors is an integer number (383456004750).

Almost surely, 249303653815328 is an apocalyptic number.

49303653815328 is a gapful number since it is divisible by the number (48) 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 49303653815328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73623552912000).

49303653815328 is an abundant number, since it is smaller than the sum of its proper divisors (97943452008672).

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

49303653815328 is a wasteful number, since it uses less digits than its factorization.

49303653815328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15676 (or 15668 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 60.

The spelling of 49303653815328 in words is "forty-nine trillion, three hundred three billion, six hundred fifty-three million, eight hundred fifteen thousand, three hundred twenty-eight".