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2104418394 = 23513397839
BaseRepresentation
bin111110101101110…
…1110000001011010
312102122211112100000
41331123232001122
513302212342034
6544452553430
7103102155411
oct17533560132
95378745300
102104418394
1198a986761
124a8922876
13276ca6cb0
1415d6ba478
15c4b3b599
hex7d6ee05a

2104418394 has 96 divisors (see below), whose sum is σ = 5111084160. Its totient is φ = 645112512.

The previous prime is 2104418383. The next prime is 2104418399. The reversal of 2104418394 is 4938144012.

It is a happy number.

2104418394 is a `hidden beast` number, since 210 + 44 + 18 + 394 = 666.

It is not an unprimeable number, because it can be changed into a prime (2104418399) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2507827 + ... + 2508665.

It is an arithmetic number, because the mean of its divisors is an integer number (53240460).

Almost surely, 22104418394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2104418394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555542080).

2104418394 is an abundant number, since it is smaller than the sum of its proper divisors (3006665766).

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

2104418394 is a wasteful number, since it uses less digits than its factorization.

2104418394 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2104418394 is about 45873.9402493398. The cubic root of 2104418394 is about 1281.4766474827.

The spelling of 2104418394 in words is "two billion, one hundred four million, four hundred eighteen thousand, three hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 397 486 702 794 839 1053 1191 1678 2106 2382 2517 3159 3573 5034 5161 6318 7146 7551 10322 10719 10907 15102 15483 21438 21814 22653 30966 32157 32721 45306 46449 64314 65442 67959 92898 96471 98163 135918 139347 192942 196326 203877 278694 294489 333083 407754 418041 588978 666166 836082 883467 999249 1254123 1766934 1998498 2508246 2650401 2997747 4330079 5300802 5995494 8660158 8993241 12990237 17986482 25980474 26979723 38970711 53959446 77941422 80939169 116912133 161878338 233824266 350736399 701472798 1052209197 2104418394