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5269659066 = 233737577653
BaseRepresentation
bin1001110100001100…
…01001110110111010
3111121020210102021000
410322012021312322
541243013042231
62230523025430
7244405235340
oct47206116672
914536712230
105269659066
112264648941
12103096b276
1365c995479
1437dc17990
1520c9706e6
hex13a189dba

5269659066 has 128 divisors (see below), whose sum is σ = 13789877760. Its totient is φ = 1460146176.

The previous prime is 5269659047. The next prime is 5269659067. The reversal of 5269659066 is 6609569625.

5269659066 is a `hidden beast` number, since 526 + 9 + 6 + 59 + 0 + 66 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5269659067) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 8069596 + ... + 8070248.

It is an arithmetic number, because the mean of its divisors is an integer number (107733420).

Almost surely, 25269659066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5269659066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6894938880).

5269659066 is an abundant number, since it is smaller than the sum of its proper divisors (8520218694).

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

5269659066 is a wasteful number, since it uses less digits than its factorization.

5269659066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The square root of 5269659066 is about 72592.4174139421. The cubic root of 5269659066 is about 1740.1799992147.

The spelling of 5269659066 in words is "five billion, two hundred sixty-nine million, six hundred fifty-nine thousand, sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 111 126 189 222 259 333 378 518 577 653 666 777 999 1154 1306 1554 1731 1959 1998 2331 3462 3918 4039 4571 4662 5193 5877 6993 8078 9142 10386 11754 12117 13713 13986 15579 17631 21349 24161 24234 27426 31158 35262 36351 41139 42698 48322 64047 72483 72702 82278 109053 123417 128094 144966 149443 169127 192141 217449 218106 246834 298886 338254 376781 384282 434898 448329 507381 576423 652347 753562 896658 1014762 1130343 1152846 1304694 1344987 1522143 2260686 2637467 2689974 3044286 3391029 4034961 4566429 5274934 6782058 7912401 8069922 9132858 10173087 13940897 15824802 20346174 23737203 27881794 41822691 47474406 71211609 83645382 97586279 125468073 142423218 195172558 250936146 292758837 376404219 585517674 752808438 878276511 1756553022 2634829533 5269659066