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2656409868 = 22327173831619
BaseRepresentation
bin1001111001010101…
…1001100100001100
320212010111121021200
42132111121210030
520420020103433
61115332025500
7122554053120
oct23625314414
96763447250
102656409868
111143524062
12621762290
13334463a78
141b2b27580
15108324613
hex9e55990c

2656409868 has 144 divisors (see below), whose sum is σ = 8151736320. Its totient is φ = 712023552.

The previous prime is 2656409849. The next prime is 2656409879. The reversal of 2656409868 is 8689046562.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1639963 + ... + 1641581.

It is an arithmetic number, because the mean of its divisors is an integer number (56609280).

Almost surely, 22656409868 is an apocalyptic number.

2656409868 is a gapful number since it is divisible by the number (28) 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 2656409868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4075868160).

2656409868 is an abundant number, since it is smaller than the sum of its proper divisors (5495326452).

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

2656409868 is a wasteful number, since it uses less digits than its factorization.

2656409868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036 (or 2031 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 2656409868 is about 51540.3712442974. The cubic root of 2656409868 is about 1384.9423476026.

The spelling of 2656409868 in words is "two billion, six hundred fifty-six million, four hundred nine thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 383 476 612 714 766 1071 1149 1428 1532 1619 2142 2298 2681 3238 3447 4284 4596 4857 5362 6476 6511 6894 8043 9714 10724 11333 13022 13788 14571 16086 19428 19533 22666 24129 26044 27523 29142 32172 33999 39066 45332 45577 48258 55046 58284 58599 67998 78132 82569 91154 96516 101997 110092 117198 135996 136731 165138 182308 192661 203994 234396 247707 273462 330276 385322 407988 410193 495414 546924 577983 620077 770644 820386 990828 1155966 1240154 1640772 1733949 1860231 2311932 2480308 3467898 3720462 4340539 5580693 6935796 7440924 8681078 10541309 11161386 13021617 17362156 21082618 22322772 26043234 31623927 39064851 42165236 52086468 63247854 73789163 78129702 94871781 126495708 147578326 156259404 189743562 221367489 295156652 379487124 442734978 664102467 885469956 1328204934 2656409868