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4246225092000 = 253453131100043
BaseRepresentation
bin111101110010100110101…
…111001111110110100000
3120000221020201122100210000
4331302212233033312200
51024032232110421000
613010404444140000
7615531262521153
oct75624657176640
916027221570700
104246225092000
1113978a5402641
12586b44237600
1324a556a97248
14109738671c9a
15756c26b3000
hex3dca6bcfda0

4246225092000 has 480 divisors, whose sum is σ = 15704188403904. Its totient is φ = 1123671744000.

The previous prime is 4246225091989. The next prime is 4246225092041. The reversal of 4246225092000 is 2905226424.

It is a happy number.

4246225092000 is a `hidden beast` number, since 4 + 2 + 4 + 622 + 5 + 0 + 9 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 42393979 + ... + 42494021.

Almost surely, 24246225092000 is an apocalyptic number.

4246225092000 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 4246225092000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7852094201952).

4246225092000 is an abundant number, since it is smaller than the sum of its proper divisors (11457963311904).

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

4246225092000 is a wasteful number, since it uses less digits than its factorization.

4246225092000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100211 (or 100184 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 4246225092000 in words is "four trillion, two hundred forty-six billion, two hundred twenty-five million, ninety-two thousand".