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48066573229920 = 253457219311071201
BaseRepresentation
bin10101110110111010111110…
…00001011101111101100000
320022012010020010120220020000
422323131133001131331200
522300010320221324140
6250121251235420000
713060460331141300
oct1273353701357540
9208163203526200
1048066573229920
1114351a1254a293
12548375a154600
1320a887369965b
14bc26125d5600
155854c64eda30
hex2bb75f05df60

48066573229920 has 2880 divisors, whose sum is σ = 216600883107840. Its totient is φ = 9970200576000.

The previous prime is 48066573229867. The next prime is 48066573229973. The reversal of 48066573229920 is 2992237566084.

It is a happy number.

48066573229920 is a `hidden beast` number, since 480 + 6 + 65 + 7 + 3 + 2 + 2 + 9 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48066573229867) and next prime (48066573229973).

It is a super-3 number, since 3×480665732299203 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 40022125320 + ... + 40022126520.

It is an arithmetic number, because the mean of its divisors is an integer number (75208639968).

Almost surely, 248066573229920 is an apocalyptic number.

48066573229920 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 48066573229920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108300441553920).

48066573229920 is an abundant number, since it is smaller than the sum of its proper divisors (168534309877920).

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

48066573229920 is a wasteful number, since it uses less digits than its factorization.

48066573229920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 48066573229920 in words is "forty-eight trillion, sixty-six billion, five hundred seventy-three million, two hundred twenty-nine thousand, nine hundred twenty".