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4512056640 = 2635713229137
BaseRepresentation
bin1000011001111000…
…01000010101000000
3102122110020020002220
410030330020111000
533220041303030
62023421011040
7216545564040
oct41474102500
912573206086
104512056640
111a05a35a33
12a5b0b3a80
1356ba38500
1430b367720
151b61c0a10
hex10cf08540

4512056640 has 672 divisors, whose sum is σ = 18473806080. Its totient is φ = 912457728.

The previous prime is 4512056623. The next prime is 4512056641. The reversal of 4512056640 is 466502154.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4512056641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32934652 + ... + 32934788.

Almost surely, 24512056640 is an apocalyptic number.

4512056640 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 4512056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9236903040).

4512056640 is an abundant number, since it is smaller than the sum of its proper divisors (13961749440).

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

4512056640 is a wasteful number, since it uses less digits than its factorization.

4512056640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 4512056640 is about 67171.8441015281. The cubic root of 4512056640 is about 1652.4367595269.

Adding to 4512056640 its reverse (466502154), we get a palindrome (4978558794).

The spelling of 4512056640 in words is "four billion, five hundred twelve million, fifty-six thousand, six hundred forty".