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4234279616 = 267149229277
BaseRepresentation
bin1111110001100001…
…1111101011000000
3101221002112200122222
43330120133223000
532132433421431
61540055150212
7206633532350
oct37430375300
911832480588
104234279616
11188315aa46
129a2075368
1352631b8c8
142c24dab60
1519bb0157b
hexfc61fac0

4234279616 has 112 divisors (see below), whose sum is σ = 9744456000. Its totient is φ = 1788162048.

The previous prime is 4234279603. The next prime is 4234279627. The reversal of 4234279616 is 6169724324.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 15286070 + ... + 15286346.

Almost surely, 24234279616 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 4234279616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4872228000).

4234279616 is an abundant number, since it is smaller than the sum of its proper divisors (5510176384).

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

4234279616 is a wasteful number, since it uses less digits than its factorization.

4234279616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 664 counting only the distinct ones).

The product of its digits is 435456, while the sum is 44.

The square root of 4234279616 is about 65071.3425095871. The cubic root of 4234279616 is about 1617.8062589300.

The spelling of 4234279616 in words is "four billion, two hundred thirty-four million, two hundred seventy-nine thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 149 224 229 277 298 448 458 554 596 916 1043 1108 1192 1603 1832 1939 2086 2216 2384 3206 3664 3878 4172 4432 4768 6412 7328 7756 8344 8864 9536 12824 14656 15512 16688 17728 25648 31024 33376 34121 41273 51296 62048 63433 66752 68242 82546 102592 124096 126866 136484 165092 238847 253732 272968 288911 330184 444031 477694 507464 545936 577822 660368 888062 955388 1014928 1091872 1155644 1320736 1776124 1910776 2029856 2183744 2311288 2641472 3552248 3821552 4059712 4622576 7104496 7643104 9245152 9451517 14208992 15286208 18490304 18903034 28417984 37806068 66160619 75612136 132321238 151224272 264642476 302448544 529284952 604897088 1058569904 2117139808 4234279616