Search a number
-
+
2659396104 = 2333191494349
BaseRepresentation
bin1001111010000011…
…0010101000001000
320212100010022122000
42132200302220020
520421301133404
61115520031000
7122621331261
oct23640625010
96770108560
102659396104
111145183722
12622762460
13334c6b081
141b32a3968
15108714339
hex9e832a08

2659396104 has 128 divisors (see below), whose sum is σ = 7830000000. Its totient is φ = 833981184.

The previous prime is 2659396087. The next prime is 2659396141. The reversal of 2659396104 is 4016939562.

2659396104 is a `hidden beast` number, since 26 + 5 + 9 + 3 + 9 + 610 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2659396104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 609322 + ... + 613670.

It is an arithmetic number, because the mean of its divisors is an integer number (61171875).

Almost surely, 22659396104 is an apocalyptic number.

2659396104 is a gapful number since it is divisible by the number (24) 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 2659396104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3915000000).

2659396104 is an abundant number, since it is smaller than the sum of its proper divisors (5170603896).

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

2659396104 is a wasteful number, since it uses less digits than its factorization.

2659396104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4532 (or 4522 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 2659396104 is about 51569.3329799795. The cubic root of 2659396104 is about 1385.4611199447.

The spelling of 2659396104 in words is "two billion, six hundred fifty-nine million, three hundred ninety-six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 149 152 171 216 228 298 342 447 456 513 596 684 894 1026 1192 1341 1368 1788 2052 2682 2831 3576 4023 4104 4349 5364 5662 8046 8493 8698 10728 11324 13047 16092 16986 17396 22648 25479 26094 32184 33972 34792 39141 50958 52188 67944 76437 78282 82631 101916 104376 117423 152874 156564 165262 203832 234846 247893 305748 313128 330524 469692 495786 611496 648001 661048 743679 939384 991572 1296002 1487358 1944003 1983144 2231037 2592004 2974716 3888006 4462074 5184008 5832009 5949432 7776012 8924148 11664018 12312019 15552024 17496027 17848296 23328036 24624038 34992054 36936057 46656072 49248076 69984108 73872114 98496152 110808171 139968216 147744228 221616342 295488456 332424513 443232684 664849026 886465368 1329698052 2659396104