Base | Representation |
---|---|
bin | 101101111101000001… |
… | …011000011010100000 |
3 | 11201100201222011010000 |
4 | 231331001120122200 |
5 | 1302023042420100 |
6 | 34400101340000 |
7 | 3364513251360 |
oct | 557501303240 |
9 | 151321864100 |
10 | 49342154400 |
11 | 19a203a5a00 |
12 | 9690707600 |
13 | 486469c986 |
14 | 256120a9a0 |
15 | 143bc4c900 |
hex | b7d0586a0 |
49342154400 has 2160 divisors, whose sum is σ = 241379550720. Its totient is φ = 9580032000.
The previous prime is 49342154387. The next prime is 49342154419. The reversal of 49342154400 is 445124394.
49342154400 is a `hidden beast` number, since 4 + 9 + 34 + 215 + 4 + 400 = 666.
It is a tau number, because it is divible by the number of its divisors (2160).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1591682385 + ... + 1591682415.
It is an arithmetic number, because the mean of its divisors is an integer number (111749792).
Almost surely, 249342154400 is an apocalyptic number.
49342154400 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 49342154400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120689775360).
49342154400 is an abundant number, since it is smaller than the sum of its proper divisors (192037396320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
49342154400 is a wasteful number, since it uses less digits than its factorization.
49342154400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 121 (or 88 counting only the distinct ones).
The product of its (nonzero) digits is 69120, while the sum is 36.
Adding to 49342154400 its reverse (445124394), we get a palindrome (49787278794).
The spelling of 49342154400 in words is "forty-nine billion, three hundred forty-two million, one hundred fifty-four thousand, four hundred".
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