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4471720344 = 233471375833
BaseRepresentation
bin1000010101000100…
…10000100110011000
3102112122022221010000
410022202100212120
533124230022334
62015420253000
7215545665360
oct41242204630
912478287100
104471720344
111995195753
12a496a1160
13563584890
14305c679a0
151b28a4299
hex10a890998

4471720344 has 160 divisors (see below), whose sum is σ = 15415535520. Its totient is φ = 1179339264.

The previous prime is 4471720303. The next prime is 4471720349. The reversal of 4471720344 is 4430271744.

It is a happy number.

4471720344 is a `hidden beast` number, since 447 + 1 + 7 + 203 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4471720299 and 4471720308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4471720349) 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 39 ways as a sum of consecutive naturals, for example, 21052 + ... + 96884.

It is an arithmetic number, because the mean of its divisors is an integer number (96347097).

Almost surely, 24471720344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4471720344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7707767760).

4471720344 is an abundant number, since it is smaller than the sum of its proper divisors (10943815176).

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

4471720344 is a wasteful number, since it uses less digits than its factorization.

4471720344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75871 (or 75858 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 4471720344 is about 66870.9230084347. The cubic root of 4471720344 is about 1647.4979333938.

The spelling of 4471720344 in words is "four billion, four hundred seventy-one million, seven hundred twenty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 81 84 91 104 108 117 126 156 162 168 182 189 216 234 252 273 312 324 351 364 378 468 504 546 567 648 702 728 756 819 936 1053 1092 1134 1404 1512 1638 2106 2184 2268 2457 2808 3276 4212 4536 4914 6552 7371 8424 9828 14742 19656 29484 58968 75833 151666 227499 303332 454998 530831 606664 682497 909996 985829 1061662 1364994 1592493 1819992 1971658 2047491 2123324 2729988 2957487 3184986 3943316 4094982 4246648 4777479 5459976 5914974 6142473 6369972 6900803 7886632 8189964 8872461 9554958 11829948 12284946 12739944 13801606 14332437 16379928 17744922 19109916 20702409 23659896 24569892 26617383 27603212 28664874 35489844 38219832 41404818 42997311 49139784 53234766 55206424 57329748 62107227 70979688 79852149 82809636 85994622 106469532 114659496 124214454 159704298 165619272 171989244 186321681 212939064 248428908 319408596 343978488 372643362 496857816 558965043 638817192 745286724 1117930086 1490573448 2235860172 4471720344