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48947200000 = 21655239
BaseRepresentation
bin101101100101011110…
…110000000000000000
311200100012210101112021
4231211132300000000
51300220440400000
634252552211224
73351646222666
oct554536600000
9150305711467
1048947200000
1119838466906
1295a0399b14
134800906b4a
14252499ac36
15141723411a
hexb657b0000

48947200000 has 204 divisors, whose sum is σ = 122871198240. Its totient is φ = 19496960000.

The previous prime is 48947199991. The next prime is 48947200009. The reversal of 48947200000 is 274984.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (48947199991) and next prime (48947200009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48947200009) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 204799881 + ... + 204800119.

Almost surely, 248947200000 is an apocalyptic number.

48947200000 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 48947200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61435599120).

48947200000 is an abundant number, since it is smaller than the sum of its proper divisors (73923998240).

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

48947200000 is an frugal number, since it uses more digits than its factorization.

48947200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

Adding to 48947200000 its reverse (274984), we get a palindrome (48947474984).

The spelling of 48947200000 in words is "forty-eight billion, nine hundred forty-seven million, two hundred thousand".