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4573041516 = 2233232417639
BaseRepresentation
bin1000100001001001…
…10001001101101100
3102210200222120122000
410100210301031230
533331144312031
62033440052300
7221216132361
oct42044611554
912720876560
104573041516
111a373a985a
12a77604090
1357b56b834
143154c0468
151bb71a3e6
hex11093136c

4573041516 has 96 divisors (see below), whose sum is σ = 12424473600. Its totient is φ = 1451831040.

The previous prime is 4573041491. The next prime is 4573041541. The reversal of 4573041516 is 6151403754.

It is an interprime number because it is at equal distance from previous prime (4573041491) and next prime (4573041541).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 594825 + ... + 602463.

It is an arithmetic number, because the mean of its divisors is an integer number (129421600).

Almost surely, 24573041516 is an apocalyptic number.

4573041516 is a gapful number since it is divisible by the number (46) 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 4573041516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6212236800).

4573041516 is an abundant number, since it is smaller than the sum of its proper divisors (7851432084).

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

4573041516 is a wasteful number, since it uses less digits than its factorization.

4573041516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7916 (or 7908 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 4573041516 is about 67624.2672122959. The cubic root of 4573041516 is about 1659.8482364764.

The spelling of 4573041516 in words is "four billion, five hundred seventy-three million, forty-one thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 241 276 414 482 621 723 828 964 1242 1446 2169 2484 2892 4338 5543 6507 7639 8676 11086 13014 15278 16629 22172 22917 26028 30556 33258 45834 49887 66516 68751 91668 99774 137502 149661 175697 199548 206253 275004 299322 351394 412506 527091 598644 702788 825012 1054182 1581273 1840999 2108364 3162546 3681998 4743819 5522997 6325092 7363996 9487638 11045994 16568991 18975276 22091988 33137982 42342977 49706973 66275964 84685954 99413946 127028931 169371908 198827892 254057862 381086793 508115724 762173586 1143260379 1524347172 2286520758 4573041516