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4257041712 = 2437116717191
BaseRepresentation
bin1111110110111101…
…0100110100110000
3101222200101010101120
43331233110310300
532204300313322
61542231102240
7210331154220
oct37557246460
911880333346
104257041712
111894a974a0
129a9811980
1352ac5b2c1
142c5544080
1519daeaa5c
hexfdbd4d30

4257041712 has 160 divisors (see below), whose sum is σ = 13916442624. Its totient is φ = 1089158400.

The previous prime is 4257041699. The next prime is 4257041749. The reversal of 4257041712 is 2171407524.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239037 + ... + 256227.

Almost surely, 24257041712 is an apocalyptic number.

4257041712 is a gapful number since it is divisible by the number (42) 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 4257041712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6958221312).

4257041712 is an abundant number, since it is smaller than the sum of its proper divisors (9659400912).

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

4257041712 is a wasteful number, since it uses less digits than its factorization.

4257041712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17287 (or 17281 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 4257041712 is about 65246.0091653122. The cubic root of 4257041712 is about 1620.7000114539.

The spelling of 4257041712 in words is "four billion, two hundred fifty-seven million, forty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 67 77 84 88 112 132 134 154 168 176 201 231 264 268 308 336 402 462 469 528 536 616 737 804 924 938 1072 1232 1407 1474 1608 1848 1876 2211 2814 2948 3216 3696 3752 4422 5159 5628 5896 7504 8844 10318 11256 11792 15477 17191 17688 20636 22512 30954 34382 35376 41272 51573 61908 68764 82544 103146 120337 123816 137528 189101 206292 240674 247632 275056 361011 378202 412584 481348 567303 722022 756404 825168 962696 1134606 1151797 1323707 1444044 1512808 1925392 2269212 2303594 2647414 2888088 3025616 3455391 3971121 4538424 4607188 5294828 5776176 6910782 7942242 8062579 9076848 9214376 10589656 12669767 13821564 15884484 16125158 18428752 21179312 24187737 25339534 27643128 31768968 32250316 38009301 48375474 50679068 55286256 63537936 64500632 76018602 88688369 96750948 101358136 129001264 152037204 177376738 193501896 202716272 266065107 304074408 354753476 387003792 532130214 608148816 709506952 1064260428 1419013904 2128520856 4257041712