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4573131264 = 29331325447
BaseRepresentation
bin1000100001001010…
…00111001000000000
3102210201011010202000
410100211013020000
533331210200024
62033442024000
7221216655132
oct42045071000
912721133660
104573131264
111a37460229
12a77648000
1357b5a0640
14315505052
151bb736cc9
hex110947200

4573131264 has 160 divisors (see below), whose sum is σ = 14578650240. Its totient is φ = 1407062016.

The previous prime is 4573131203. The next prime is 4573131271. The reversal of 4573131264 is 4621313754.

4573131264 is a `hidden beast` number, since 4 + 573 + 13 + 12 + 64 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166989 + ... + 192435.

It is an arithmetic number, because the mean of its divisors is an integer number (91116564).

Almost surely, 24573131264 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 4573131264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7289325120).

4573131264 is an abundant number, since it is smaller than the sum of its proper divisors (10005518976).

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

4573131264 is a wasteful number, since it uses less digits than its factorization.

4573131264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25487 (or 25465 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 4573131264 is about 67624.9307873953. The cubic root of 4573131264 is about 1659.8590948285.

The spelling of 4573131264 in words is "four billion, five hundred seventy-three million, one hundred thirty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 468 512 576 624 702 768 832 864 936 1152 1248 1404 1536 1664 1728 1872 2304 2496 2808 3328 3456 3744 4608 4992 5616 6656 6912 7488 9984 11232 13824 14976 19968 22464 25447 29952 44928 50894 59904 76341 89856 101788 152682 179712 203576 229023 305364 330811 407152 458046 610728 661622 687069 814304 916092 992433 1221456 1323244 1374138 1628608 1832184 1984866 2442912 2646488 2748276 2977299 3257216 3664368 3969732 4885824 5292976 5496552 5954598 6514432 7328736 7939464 8931897 9771648 10585952 10993104 11909196 13028864 14657472 15878928 17863794 19543296 21171904 21986208 23818392 29314944 31757856 35727588 39086592 42343808 43972416 47636784 58629888 63515712 71455176 84687616 87944832 95273568 117259776 127031424 142910352 169375232 175889664 190547136 254062848 285820704 351779328 381094272 508125696 571641408 762188544 1143282816 1524377088 2286565632 4573131264