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4629931056 = 243397313353
BaseRepresentation
bin1000100111111011…
…10010010000110000
3102221200000212102000
410103331302100300
533440230243211
62043231254000
7222506523162
oct42375622060
912850025360
104629931056
111a66525803
12a9267a300
1358a299a9a
1431cc8c932
151c1706656
hex113f72430

4629931056 has 160 divisors (see below), whose sum is σ = 13507677120. Its totient is φ = 1518206976.

The previous prime is 4629931051. The next prime is 4629931057. The reversal of 4629931056 is 6501399264.

4629931056 is a `hidden beast` number, since 4 + 629 + 9 + 3 + 10 + 5 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (4629931051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13115776 + ... + 13116128.

It is an arithmetic number, because the mean of its divisors is an integer number (84422982).

Almost surely, 24629931056 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 4629931056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6753838560).

4629931056 is an abundant number, since it is smaller than the sum of its proper divisors (8877746064).

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

4629931056 is a wasteful number, since it uses less digits than its factorization.

4629931056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 4629931056 is about 68043.5967303316. The cubic root of 4629931056 is about 1666.7028370461.

The spelling of 4629931056 in words is "four billion, six hundred twenty-nine million, nine hundred thirty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 97 108 144 194 216 291 313 353 388 432 582 626 706 776 873 939 1059 1164 1252 1412 1552 1746 1878 2118 2328 2504 2619 2817 2824 3177 3492 3756 4236 4656 5008 5238 5634 5648 6354 6984 7512 8451 8472 9531 10476 11268 12708 13968 15024 16902 16944 19062 20952 22536 25416 30361 33804 34241 38124 41904 45072 50832 60722 67608 68482 76248 91083 102723 110489 121444 135216 136964 152496 182166 205446 220978 242888 273249 273928 308169 331467 364332 410892 441956 485776 546498 547856 616338 662934 728664 819747 821784 883912 924507 994401 1092996 1232676 1325868 1457328 1639494 1643568 1767824 1849014 1988802 2185992 2465352 2651736 2983203 3278988 3698028 3977604 4371984 4930704 5303472 5966406 6557976 7396056 7955208 10717433 11932812 13115952 14792112 15910416 21434866 23865624 32152299 42869732 47731248 64304598 85739464 96456897 128609196 171478928 192913794 257218392 289370691 385827588 514436784 578741382 771655176 1157482764 1543310352 2314965528 4629931056