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4625203968 = 283271129231
BaseRepresentation
bin1000100111010111…
…10000001100000000
3102221100010201001200
410103223300030000
533433023011333
62042542101200
7222421404450
oct42353601400
912840121050
104625203968
111a63897220
12a90b7a800
135893032a8
1431c3bbd60
151c10c0c13
hex113af0300

4625203968 has 648 divisors, whose sum is σ = 17774754816. Its totient is φ = 1122508800.

The previous prime is 4625203949. The next prime is 4625204009. The reversal of 4625203968 is 8693025264.

4625203968 is a `hidden beast` number, since 4 + 6 + 252 + 0 + 396 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 149200113 + ... + 149200143.

Almost surely, 24625203968 is an apocalyptic number.

4625203968 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 4625203968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8887377408).

4625203968 is an abundant number, since it is smaller than the sum of its proper divisors (13149550848).

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

4625203968 is a wasteful number, since it uses less digits than its factorization.

4625203968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 4625203968 is about 68008.8521297044. The cubic root of 4625203968 is about 1666.1354179540.

The spelling of 4625203968 in words is "four billion, six hundred twenty-five million, two hundred three thousand, nine hundred sixty-eight".