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48102163200 = 28335272131923
BaseRepresentation
bin101100110011000111…
…001100001100000000
311121011022201001222000
4230303013030030000
51242003123210300
634033044144000
73322005432600
oct546307141400
9147138631860
1048102163200
1119444465193
1293a5398000
1346c7815980
14248466ac00
1513b7e62c00
hexb331cc300

48102163200 has 2592 divisors, whose sum is σ = 242709465600. Its totient is φ = 9196830720.

The previous prime is 48102163171. The next prime is 48102163201. The reversal of 48102163200 is 236120184.

48102163200 is a `hidden beast` number, since 4 + 8 + 1 + 0 + 21 + 632 + 0 + 0 = 666.

It is a super-3 number, since 3×481021632003 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (48102163201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2091398389 + ... + 2091398411.

Almost surely, 248102163200 is an apocalyptic number.

48102163200 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 48102163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121354732800).

48102163200 is an abundant number, since it is smaller than the sum of its proper divisors (194607302400).

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

48102163200 is a wasteful number, since it uses less digits than its factorization.

48102163200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 48102163200 its reverse (236120184), we get a palindrome (48338283384).

The spelling of 48102163200 in words is "forty-eight billion, one hundred two million, one hundred sixty-three thousand, two hundred".