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4565434984 = 23111392511487
BaseRepresentation
bin1000100000001111…
…10000001001101000
3102210011200010102121
410100013300021220
533322222404414
62033005041024
7221064362035
oct42007601150
912704603377
104565434984
111a33083970
12a74b56174
13579b07526
143144a038c
151bac16724
hex1101f0268

4565434984 has 64 divisors (see below), whose sum is σ = 9449395200. Its totient is φ = 2050680000.

The previous prime is 4565434981. The next prime is 4565435011. The reversal of 4565434984 is 4894345654.

It is not an unprimeable number, because it can be changed into a prime (4565434981) 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 15 ways as a sum of consecutive naturals, for example, 3069489 + ... + 3070975.

It is an arithmetic number, because the mean of its divisors is an integer number (147646800).

Almost surely, 24565434984 is an apocalyptic number.

4565434984 is a gapful number since it is divisible by the number (44) 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 4565434984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4724697600).

4565434984 is an abundant number, since it is smaller than the sum of its proper divisors (4883960216).

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

4565434984 is a wasteful number, since it uses less digits than its factorization.

4565434984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894 (or 1890 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 52.

The square root of 4565434984 is about 67568.0026639829. The cubic root of 4565434984 is about 1658.9274273215.

The spelling of 4565434984 in words is "four billion, five hundred sixty-five million, four hundred thirty-four thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 22 44 88 139 251 278 502 556 1004 1112 1487 1529 2008 2761 2974 3058 5522 5948 6116 11044 11896 12232 16357 22088 32714 34889 65428 69778 130856 139556 206693 279112 373237 383779 413386 746474 767558 826772 1492948 1535116 1653544 2273623 2985896 3070232 4105607 4547246 8211214 9094492 16422428 18188984 32844856 51879943 103759886 207519772 415039544 570679373 1141358746 2282717492 4565434984