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4468396128 = 25376649399
BaseRepresentation
bin1000010100101011…
…00101000001100000
3102112102002001010220
410022111211001200
533122402134003
62015221123040
7215505511650
oct41225450140
912472061126
104468396128
111993325169
12a48559480
1356298c7a1
14305640360
151b2449353
hex10a565060

4468396128 has 48 divisors (see below), whose sum is σ = 13405190400. Its totient is φ = 1276684416.

The previous prime is 4468396109. The next prime is 4468396151. The reversal of 4468396128 is 8216938644.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3324028 + ... + 3325371.

It is an arithmetic number, because the mean of its divisors is an integer number (279274800).

Almost surely, 24468396128 is an apocalyptic number.

4468396128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4468396128 is an abundant number, since it is smaller than the sum of its proper divisors (8936794272).

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

4468396128 is a wasteful number, since it uses less digits than its factorization.

4468396128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6649419 (or 6649411 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 51.

The square root of 4468396128 is about 66846.0629207136. The cubic root of 4468396128 is about 1647.0895896830.

The spelling of 4468396128 in words is "four billion, four hundred sixty-eight million, three hundred ninety-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 6649399 13298798 19948197 26597596 39896394 46545793 53195192 79792788 93091586 106390384 139637379 159585576 186183172 212780768 279274758 319171152 372366344 558549516 638342304 744732688 1117099032 1489465376 2234198064 4468396128