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49446467400 = 233521129416301
BaseRepresentation
bin101110000011001111…
…010011011101001000
311201122000020210122110
4232003033103131020
51302231243424100
634414305222320
73400221016041
oct560317233510
9151560223573
1049446467400
1119a742728a0
1296bb6319a0
134880193645
1425710018c8
151445ea5250
hexb833d3748

49446467400 has 384 divisors, whose sum is σ = 177232406400. Its totient is φ = 11289600000.

The previous prime is 49446467381. The next prime is 49446467423. The reversal of 49446467400 is 476464494.

49446467400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 49446467400.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7844250 + ... + 7850550.

It is an arithmetic number, because the mean of its divisors is an integer number (461542725).

Almost surely, 249446467400 is an apocalyptic number.

49446467400 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 49446467400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88616203200).

49446467400 is an abundant number, since it is smaller than the sum of its proper divisors (127785939000).

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

49446467400 is a wasteful number, since it uses less digits than its factorization.

49446467400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6401 (or 6392 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 48.

The spelling of 49446467400 in words is "forty-nine billion, four hundred forty-six million, four hundred sixty-seven thousand, four hundred".