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4506992640 = 2143256113
BaseRepresentation
bin1000011001010001…
…10100000000000000
3102122002200221121100
410030220310000000
533212242231030
62023120254400
7216454543143
oct41450640000
912562627540
104506992640
111a03097307
12a59471400
1356a984567
1430a80a05a
151b5a20360
hex10ca34000

4506992640 has 180 divisors, whose sum is σ = 15626320164. Its totient is φ = 1201668096.

The previous prime is 4506992617. The next prime is 4506992657. The reversal of 4506992640 is 462996054.

It can be written as a sum of positive squares in 2 ways, for example, as 2053177344 + 2453815296 = 45312^2 + 49536^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 734224 + ... + 740336.

Almost surely, 24506992640 is an apocalyptic number.

4506992640 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 4506992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7813160082).

4506992640 is an abundant number, since it is smaller than the sum of its proper divisors (11119327524).

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

4506992640 is an equidigital number, since it uses as much as digits as its factorization.

4506992640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6152 (or 6123 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 4506992640 is about 67134.1391543825. The cubic root of 4506992640 is about 1651.8183370135.

The spelling of 4506992640 in words is "four billion, five hundred six million, nine hundred ninety-two thousand, six hundred forty".