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4361016016 = 247233197563
BaseRepresentation
bin1000000111110111…
…11101001011010000
3102020221000120022201
410003323331023100
532412410003031
62000423412544
7213033011260
oct40373751320
912227016281
104361016016
111938752975
12a185b4154
13546663a66
142d528b7a0
151a7cd7d61
hex103efd2d0

4361016016 has 160 divisors (see below), whose sum is σ = 10527326208. Its totient is φ = 1709199360.

The previous prime is 4361016007. The next prime is 4361016061. The reversal of 4361016016 is 6106101634.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 7745751 + ... + 7746313.

Almost surely, 24361016016 is an apocalyptic number.

4361016016 is a gapful number since it is divisible by the number (46) 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 4361016016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5263663104).

4361016016 is an abundant number, since it is smaller than the sum of its proper divisors (6166310192).

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

4361016016 is a wasteful number, since it uses less digits than its factorization.

4361016016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 4361016016 is about 66037.9891880424. The cubic root of 4361016016 is about 1633.7887222602.

The spelling of 4361016016 in words is "four billion, three hundred sixty-one million, sixteen thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 23 28 31 46 56 62 92 97 112 124 161 184 194 217 248 322 368 388 434 496 563 644 679 713 776 868 1126 1288 1358 1426 1552 1736 2231 2252 2576 2716 2852 3007 3472 3941 4462 4504 4991 5432 5704 6014 7882 8924 9008 9982 10864 11408 12028 12949 15617 15764 17453 17848 19964 21049 24056 25898 31234 31528 34906 35696 39928 42098 48112 51796 54611 62468 63056 69161 69812 79856 84196 90643 103592 109222 122171 124936 138322 139624 168392 181286 207184 218444 244342 249872 276644 279248 336784 362572 382277 401419 436888 484127 488684 553288 725144 764554 802838 873776 968254 977368 1106576 1256053 1450288 1529108 1605676 1692941 1936508 1954736 2512106 2809933 3058216 3211352 3385882 3873016 5024212 5619866 6116432 6422704 6771764 7746032 8792371 10048424 11239732 11850587 13543528 17584742 20096848 22479464 23701174 27087056 35169484 38937643 44958928 47402348 70338968 77875286 94804696 140677936 155750572 189609392 272563501 311501144 545127002 623002288 1090254004 2180508008 4361016016