Search a number
-
+
104456654214 = 23112226763467
BaseRepresentation
bin110000101001000011…
…0100000110110000110
3100222121202121211111220
41201102012200312012
53202411400413324
6115553044341210
710355350624323
oct1412206406606
9328552554456
10104456654214
1140333070400
12182b23a4806
139b08c1a843
1450accc5b4a
152ab5614b79
hex18521a0d86

104456654214 has 48 divisors (see below), whose sum is σ = 229736896704. Its totient is φ = 31639070320.

The previous prime is 104456654209. The next prime is 104456654287. The reversal of 104456654214 is 412456654401.

It is a happy number.

It is a super-2 number, since 2×1044566542142 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1614109 + ... + 1677575.

It is an arithmetic number, because the mean of its divisors is an integer number (4786185348).

Almost surely, 2104456654214 is an apocalyptic number.

104456654214 is an abundant number, since it is smaller than the sum of its proper divisors (125280242490).

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

104456654214 is a wasteful number, since it uses less digits than its factorization.

104456654214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65761 (or 65750 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 104456654214 in words is "one hundred four billion, four hundred fifty-six million, six hundred fifty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 2267 4534 6801 13602 24937 49874 63467 74811 126934 149622 190401 274307 380802 548614 698137 822921 1396274 1645842 2094411 4188822 7679507 15359014 23038521 46077042 143879689 287759378 431639067 863278134 1582676579 3165353158 4748029737 9496059474 17409442369 34818884738 52228327107 104456654214