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4068589616 = 2471383131257
BaseRepresentation
bin1111001010000001…
…1100000000110000
3101111112202202201022
43302200130000300
531313024331431
61511415555012
7202552304210
oct36240340060
911445682638
104068589616
1117a8681663
1295668ba68
134cabb82a0
142a84ca240
1518c2c307b
hexf281c030

4068589616 has 160 divisors (see below), whose sum is σ = 9932364288. Its totient is φ = 1571880960.

The previous prime is 4068589561. The next prime is 4068589619. The reversal of 4068589616 is 6169858604.

It is not an unprimeable number, because it can be changed into a prime (4068589619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15830960 + ... + 15831216.

Almost surely, 24068589616 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 4068589616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4966182144).

4068589616 is an abundant number, since it is smaller than the sum of its proper divisors (5863774672).

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

4068589616 is a wasteful number, since it uses less digits than its factorization.

4068589616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 53.

The square root of 4068589616 is about 63785.4969095640. The cubic root of 4068589616 is about 1596.4229484819.

The spelling of 4068589616 in words is "four billion, sixty-eight million, five hundred eighty-nine thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 83 91 104 112 131 166 182 208 257 262 332 364 514 524 581 664 728 917 1028 1048 1079 1162 1328 1456 1703 1799 1834 2056 2096 2158 2324 3341 3406 3598 3668 4112 4316 4648 6682 6812 7196 7336 7553 8632 9296 10873 11921 13364 13624 14392 14672 15106 17264 21331 21746 23387 23842 26728 27248 28784 30212 33667 42662 43492 46774 47684 53456 60424 67334 76111 85324 86984 93548 95368 120848 134668 141349 149317 152222 170648 173968 187096 190736 235669 269336 277303 282698 298634 304444 341296 374192 437671 471338 538672 554606 565396 597268 608888 875342 942676 989443 1109212 1130792 1194536 1217776 1750684 1885352 1941121 1978886 2218424 2261584 2389072 2794361 3063697 3501368 3770704 3882242 3957772 4436848 5588722 6127394 7002736 7764484 7915544 11177444 12254788 15528968 15831088 19560527 22354888 24509576 31057936 36326693 39121054 44709776 49019152 72653386 78242108 145306772 156484216 254286851 290613544 312968432 508573702 581227088 1017147404 2034294808 4068589616