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46532022048 = 25341922232
BaseRepresentation
bin101011010101100001…
…100100111100100000
311110002220012122020000
4223111201210330200
51230244144201143
633213154420000
73235051442601
oct532541447440
9143086178200
1046532022048
1118809127976
129027591600
134507435875
142375d09da8
1513251b0bd3
hexad5864f20

46532022048 has 270 divisors, whose sum is σ = 145081644939. Its totient is φ = 14628428928.

The previous prime is 46532022041. The next prime is 46532022071. The reversal of 46532022048 is 84022023564.

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 can be written as a sum of positive squares in only one way, i.e., 23266011024 + 23266011024 = 152532^2 + 152532^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=152532.

It is a super-2 number, since 2×465320220482 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (46532022041) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 208663665 + ... + 208663887.

Almost surely, 246532022048 is an apocalyptic number.

46532022048 is a gapful number since it is divisible by the number (48) 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 46532022048

46532022048 is an abundant number, since it is smaller than the sum of its proper divisors (98549622891).

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

46532022048 is an equidigital number, since it uses as much as digits as its factorization.

46532022048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 46532022048 in words is "forty-six billion, five hundred thirty-two million, twenty-two thousand, forty-eight".