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5235016446 = 23311711011229
BaseRepresentation
bin1001110000000100…
…00000001011111110
3111111211121101112000
410320002000023332
541210131011241
62223244323130
7243504622422
oct47002001376
914454541460
105235016446
112247037380
1210212434a6
1365575628a
1437939ab82
152098caeb6
hex1380802fe

5235016446 has 128 divisors (see below), whose sum is σ = 13007692800. Its totient is φ = 1547280000.

The previous prime is 5235016417. The next prime is 5235016481. The reversal of 5235016446 is 6446105325.

5235016446 is a `hidden beast` number, since 5 + 2 + 3 + 5 + 0 + 1 + 644 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5235016446.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 4258960 + ... + 4260188.

It is an arithmetic number, because the mean of its divisors is an integer number (101622600).

Almost surely, 25235016446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5235016446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6503846400).

5235016446 is an abundant number, since it is smaller than the sum of its proper divisors (7772676354).

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

5235016446 is a wasteful number, since it uses less digits than its factorization.

5235016446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5235016446 is about 72353.4135062058. The cubic root of 5235016446 is about 1736.3583110037.

The spelling of 5235016446 in words is "five billion, two hundred thirty-five million, sixteen thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 71 99 101 142 198 202 213 297 303 426 594 606 639 781 909 1111 1229 1278 1562 1818 1917 2222 2343 2458 2727 3333 3687 3834 4686 5454 6666 7029 7171 7374 9999 11061 13519 14058 14342 19998 21087 21513 22122 27038 29997 33183 40557 42174 43026 59994 64539 66366 78881 81114 87259 121671 124129 129078 157762 174518 193617 236643 243342 248258 261777 365013 372387 387234 473286 523554 709929 730026 744774 785331 959849 1117161 1365419 1419858 1570662 1919698 2129787 2234322 2355993 2730838 2879547 3351483 4096257 4259574 4711986 5759094 6702966 8192514 8638641 8813159 12288771 17277282 17626318 24577542 25915923 26439477 36866313 51831846 52878954 73732626 79318431 96944749 158636862 193889498 237955293 290834247 475910586 581668494 872502741 1745005482 2617508223 5235016446