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4474633064 = 2311893071861
BaseRepresentation
bin1000010101011010…
…10111101101101000
3102112211210220121112
410022231113231220
533131001224224
62020002525452
7215612516306
oct41255275550
912484726545
104474633064
1119968a5060
12a4a666888
13564064595
143063c5276
151b2c7c30e
hex10ab57b68

4474633064 has 64 divisors (see below), whose sum is σ = 9290635200. Its totient is φ = 2003443200.

The previous prime is 4474633043. The next prime is 4474633103. The reversal of 4474633064 is 4603364744.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2403494 + ... + 2405354.

It is an arithmetic number, because the mean of its divisors is an integer number (145166175).

Almost surely, 24474633064 is an apocalyptic number.

4474633064 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 4474633064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4645317600).

4474633064 is an abundant number, since it is smaller than the sum of its proper divisors (4816002136).

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

4474633064 is a wasteful number, since it uses less digits than its factorization.

4474633064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 41.

The square root of 4474633064 is about 66892.6981366427. The cubic root of 4474633064 is about 1647.8555629925.

The spelling of 4474633064 in words is "four billion, four hundred seventy-four million, six hundred thirty-three thousand, sixty-four".

Divisors: 1 2 4 8 11 22 44 88 89 178 307 356 614 712 979 1228 1861 1958 2456 3377 3722 3916 6754 7444 7832 13508 14888 20471 27016 27323 40942 54646 81884 109292 163768 165629 218584 300553 331258 571327 601106 662516 1142654 1202212 1325032 1821919 2285308 2404424 3643838 4570616 6284597 7287676 12569194 14575352 25138388 50276776 50848103 101696206 203392412 406784824 559329133 1118658266 2237316532 4474633064