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46147220000 = 255474312
BaseRepresentation
bin101010111110100101…
…101011001000100000
311102010002010200001022
4222332211223020200
51224002142020000
633111051025012
73222366620000
oct527645531040
9142102120038
1046147220000
11186309a2452
128b3a73b168
1344757b5a4b
14233ab80000
151301500585
hexabe96b220

46147220000 has 450 divisors, whose sum is σ = 136852879779. Its totient is φ = 15311520000.

The previous prime is 46147219997. The next prime is 46147220003. The reversal of 46147220000 is 2274164.

46147220000 = 9563 + 9573 + ... + 10043.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (46147219997) and next prime (46147220003).

It can be written as a sum of positive squares in 3 ways, for example, as 10669237264 + 35477982736 = 103292^2 + 188356^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=151900.

It is not an unprimeable number, because it can be changed into a prime (46147220003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 1488619985 + ... + 1488620015.

Almost surely, 246147220000 is an apocalyptic number.

46147220000 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 46147220000

46147220000 is an abundant number, since it is smaller than the sum of its proper divisors (90705659779).

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

46147220000 is an frugal number, since it uses more digits than its factorization.

46147220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

Adding to 46147220000 its reverse (2274164), we get a palindrome (46149494164).

The spelling of 46147220000 in words is "forty-six billion, one hundred forty-seven million, two hundred twenty thousand".